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Finding the Fourth Proportional to 962, 1,442.92 and 474.88

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Solution

The fourth proportional to 962, 1,442.92 and 474.88 is: 712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    962 : 1,442.92 = 474.88 : x
  2. Step 2: Convert to fraction form
    962/1,442.92 = 474.88/x
  3. Step 3: Cross multiply
    962x = 1,442.92 × 474.88
  4. Step 4: Simplify right side
    962x = 685,213.85
  5. Step 5: Solve for x
    x = 685,213.85/962
  6. Step 6: Final answer
    x = 712.28

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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.