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Finding the Fourth Proportional to 1,136.19, 1,568.10 and 716.73

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Solution

The fourth proportional to 1,136.19, 1,568.10 and 716.73 is: 989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.19 : 1,568.10 = 716.73 : x
  2. Step 2: Convert to fraction form
    1,136.19/1,568.10 = 716.73/x
  3. Step 3: Cross multiply
    1,136.19x = 1,568.10 × 716.73
  4. Step 4: Simplify right side
    1,136.19x = 1,123,904.31
  5. Step 5: Solve for x
    x = 1,123,904.31/1,136.19
  6. Step 6: Final answer
    x = 989.19

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Half scale
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Double scale
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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.