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Finding the Fourth Proportional to 735.73, 1,016.18 and 642.17

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Solution

The fourth proportional to 735.73, 1,016.18 and 642.17 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.73 : 1,016.18 = 642.17 : x
  2. Step 2: Convert to fraction form
    735.73/1,016.18 = 642.17/x
  3. Step 3: Cross multiply
    735.73x = 1,016.18 × 642.17
  4. Step 4: Simplify right side
    735.73x = 652,562.05
  5. Step 5: Solve for x
    x = 652,562.05/735.73
  6. Step 6: Final answer
    x = 886.96

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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.