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Finding the Fourth Proportional to 1,024.31, 1,533.14 and 560.92

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Solution

The fourth proportional to 1,024.31, 1,533.14 and 560.92 is: 839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.31 : 1,533.14 = 560.92 : x
  2. Step 2: Convert to fraction form
    1,024.31/1,533.14 = 560.92/x
  3. Step 3: Cross multiply
    1,024.31x = 1,533.14 × 560.92
  4. Step 4: Simplify right side
    1,024.31x = 859,966.08
  5. Step 5: Solve for x
    x = 859,966.08/1,024.31
  6. Step 6: Final answer
    x = 839.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.