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Finding the Fourth Proportional to 962.73, 1,327.69 and 714.68

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Solution

The fourth proportional to 962.73, 1,327.69 and 714.68 is: 985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.73 : 1,327.69 = 714.68 : x
  2. Step 2: Convert to fraction form
    962.73/1,327.69 = 714.68/x
  3. Step 3: Cross multiply
    962.73x = 1,327.69 × 714.68
  4. Step 4: Simplify right side
    962.73x = 948,873.49
  5. Step 5: Solve for x
    x = 948,873.49/962.73
  6. Step 6: Final answer
    x = 985.61

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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.