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Finding the Fourth Proportional to 807.83, 1,114.07 and 527.97

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Solution

The fourth proportional to 807.83, 1,114.07 and 527.97 is: 728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.83 : 1,114.07 = 527.97 : x
  2. Step 2: Convert to fraction form
    807.83/1,114.07 = 527.97/x
  3. Step 3: Cross multiply
    807.83x = 1,114.07 × 527.97
  4. Step 4: Simplify right side
    807.83x = 588,192.90
  5. Step 5: Solve for x
    x = 588,192.90/807.83
  6. Step 6: Final answer
    x = 728.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.