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Finding the Fourth Proportional to 775.31, 1,162.55 and 410.00

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Solution

The fourth proportional to 775.31, 1,162.55 and 410.00 is: 614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.31 : 1,162.55 = 410.00 : x
  2. Step 2: Convert to fraction form
    775.31/1,162.55 = 410.00/x
  3. Step 3: Cross multiply
    775.31x = 1,162.55 × 410.00
  4. Step 4: Simplify right side
    775.31x = 476,640.71
  5. Step 5: Solve for x
    x = 476,640.71/775.31
  6. Step 6: Final answer
    x = 614.78

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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.