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Finding the Fourth Proportional to 775.46, 1,161.96 and 502.08

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Solution

The fourth proportional to 775.46, 1,161.96 and 502.08 is: 752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.46 : 1,161.96 = 502.08 : x
  2. Step 2: Convert to fraction form
    775.46/1,161.96 = 502.08/x
  3. Step 3: Cross multiply
    775.46x = 1,161.96 × 502.08
  4. Step 4: Simplify right side
    775.46x = 583,396.88
  5. Step 5: Solve for x
    x = 583,396.88/775.46
  6. Step 6: Final answer
    x = 752.33

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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.