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Finding the Fourth Proportional to 698.38, 1,052.47 and 665.44

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Solution

The fourth proportional to 698.38, 1,052.47 and 665.44 is: 1,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.38 : 1,052.47 = 665.44 : x
  2. Step 2: Convert to fraction form
    698.38/1,052.47 = 665.44/x
  3. Step 3: Cross multiply
    698.38x = 1,052.47 × 665.44
  4. Step 4: Simplify right side
    698.38x = 700,355.64
  5. Step 5: Solve for x
    x = 700,355.64/698.38
  6. Step 6: Final answer
    x = 1,002.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.