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Finding the Fourth Proportional to 775.05, 1,162.89 and 410.16

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Solution

The fourth proportional to 775.05, 1,162.89 and 410.16 is: 615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.05 : 1,162.89 = 410.16 : x
  2. Step 2: Convert to fraction form
    775.05/1,162.89 = 410.16/x
  3. Step 3: Cross multiply
    775.05x = 1,162.89 × 410.16
  4. Step 4: Simplify right side
    775.05x = 476,970.96
  5. Step 5: Solve for x
    x = 476,970.96/775.05
  6. Step 6: Final answer
    x = 615.41

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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.