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Finding the Fourth Proportional to 962.52, 1,442.04 and 442.96

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Solution

The fourth proportional to 962.52, 1,442.04 and 442.96 is: 663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.52 : 1,442.04 = 442.96 : x
  2. Step 2: Convert to fraction form
    962.52/1,442.04 = 442.96/x
  3. Step 3: Cross multiply
    962.52x = 1,442.04 × 442.96
  4. Step 4: Simplify right side
    962.52x = 638,760.56
  5. Step 5: Solve for x
    x = 638,760.56/962.52
  6. Step 6: Final answer
    x = 663.63

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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.