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Finding the Fourth Proportional to 1,323.57, 1,824.75 and 1,136.25

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Solution

The fourth proportional to 1,323.57, 1,824.75 and 1,136.25 is: 1,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.57 : 1,824.75 = 1,136.25 : x
  2. Step 2: Convert to fraction form
    1,323.57/1,824.75 = 1,136.25/x
  3. Step 3: Cross multiply
    1,323.57x = 1,824.75 × 1,136.25
  4. Step 4: Simplify right side
    1,323.57x = 2,073,372.19
  5. Step 5: Solve for x
    x = 2,073,372.19/1,323.57
  6. Step 6: Final answer
    x = 1,566.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.