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Finding the Fourth Proportional to 807.46, 1,209.29 and 691.24

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Solution

The fourth proportional to 807.46, 1,209.29 and 691.24 is: 1,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.46 : 1,209.29 = 691.24 : x
  2. Step 2: Convert to fraction form
    807.46/1,209.29 = 691.24/x
  3. Step 3: Cross multiply
    807.46x = 1,209.29 × 691.24
  4. Step 4: Simplify right side
    807.46x = 835,906.16
  5. Step 5: Solve for x
    x = 835,906.16/807.46
  6. Step 6: Final answer
    x = 1,035.23

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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.