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Finding the Fourth Proportional to 825.97, 1,139.43 and 527.14

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Solution

The fourth proportional to 825.97, 1,139.43 and 527.14 is: 727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.97 : 1,139.43 = 527.14 : x
  2. Step 2: Convert to fraction form
    825.97/1,139.43 = 527.14/x
  3. Step 3: Cross multiply
    825.97x = 1,139.43 × 527.14
  4. Step 4: Simplify right side
    825.97x = 600,639.13
  5. Step 5: Solve for x
    x = 600,639.13/825.97
  6. Step 6: Final answer
    x = 727.19

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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.