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Finding the Fourth Proportional to 691.71, 1,035.87 and 618.81

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Solution

The fourth proportional to 691.71, 1,035.87 and 618.81 is: 926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.71 : 1,035.87 = 618.81 : x
  2. Step 2: Convert to fraction form
    691.71/1,035.87 = 618.81/x
  3. Step 3: Cross multiply
    691.71x = 1,035.87 × 618.81
  4. Step 4: Simplify right side
    691.71x = 641,006.71
  5. Step 5: Solve for x
    x = 641,006.71/691.71
  6. Step 6: Final answer
    x = 926.70

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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.