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Finding the Fourth Proportional to 962.52, 1,442.54 and 687.08

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Solution

The fourth proportional to 962.52, 1,442.54 and 687.08 is: 1,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.52 : 1,442.54 = 687.08 : x
  2. Step 2: Convert to fraction form
    962.52/1,442.54 = 687.08/x
  3. Step 3: Cross multiply
    962.52x = 1,442.54 × 687.08
  4. Step 4: Simplify right side
    962.52x = 991,140.38
  5. Step 5: Solve for x
    x = 991,140.38/962.52
  6. Step 6: Final answer
    x = 1,029.73

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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.