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Finding the Fourth Proportional to 713.71, 1,068.18 and 525.07

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Solution

The fourth proportional to 713.71, 1,068.18 and 525.07 is: 785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.71 : 1,068.18 = 525.07 : x
  2. Step 2: Convert to fraction form
    713.71/1,068.18 = 525.07/x
  3. Step 3: Cross multiply
    713.71x = 1,068.18 × 525.07
  4. Step 4: Simplify right side
    713.71x = 560,869.27
  5. Step 5: Solve for x
    x = 560,869.27/713.71
  6. Step 6: Final answer
    x = 785.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.