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Finding the Fourth Proportional to 1,024.29, 1,535.06 and 560.85

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Solution

The fourth proportional to 1,024.29, 1,535.06 and 560.85 is: 840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.29 : 1,535.06 = 560.85 : x
  2. Step 2: Convert to fraction form
    1,024.29/1,535.06 = 560.85/x
  3. Step 3: Cross multiply
    1,024.29x = 1,535.06 × 560.85
  4. Step 4: Simplify right side
    1,024.29x = 860,935.60
  5. Step 5: Solve for x
    x = 860,935.60/1,024.29
  6. Step 6: Final answer
    x = 840.52

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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.