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Finding the Fourth Proportional to 772.71, 1,066.01 and 524.18

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Solution

The fourth proportional to 772.71, 1,066.01 and 524.18 is: 723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.71 : 1,066.01 = 524.18 : x
  2. Step 2: Convert to fraction form
    772.71/1,066.01 = 524.18/x
  3. Step 3: Cross multiply
    772.71x = 1,066.01 × 524.18
  4. Step 4: Simplify right side
    772.71x = 558,773.17
  5. Step 5: Solve for x
    x = 558,773.17/772.71
  6. Step 6: Final answer
    x = 723.13

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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.