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Finding the Fourth Proportional to 962.82, 1,327.38 and 647.52

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Solution

The fourth proportional to 962.82, 1,327.38 and 647.52 is: 892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.82 : 1,327.38 = 647.52 : x
  2. Step 2: Convert to fraction form
    962.82/1,327.38 = 647.52/x
  3. Step 3: Cross multiply
    962.82x = 1,327.38 × 647.52
  4. Step 4: Simplify right side
    962.82x = 859,505.10
  5. Step 5: Solve for x
    x = 859,505.10/962.82
  6. Step 6: Final answer
    x = 892.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.