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Finding the Fourth Proportional to 1,206.71, 1,665.25 and 682.75

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Solution

The fourth proportional to 1,206.71, 1,665.25 and 682.75 is: 942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.71 : 1,665.25 = 682.75 : x
  2. Step 2: Convert to fraction form
    1,206.71/1,665.25 = 682.75/x
  3. Step 3: Cross multiply
    1,206.71x = 1,665.25 × 682.75
  4. Step 4: Simplify right side
    1,206.71x = 1,136,949.44
  5. Step 5: Solve for x
    x = 1,136,949.44/1,206.71
  6. Step 6: Final answer
    x = 942.19

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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.