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Finding the Fourth Proportional to 698.38, 1,046.12 and 466.58

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Solution

The fourth proportional to 698.38, 1,046.12 and 466.58 is: 698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.38 : 1,046.12 = 466.58 : x
  2. Step 2: Convert to fraction form
    698.38/1,046.12 = 466.58/x
  3. Step 3: Cross multiply
    698.38x = 1,046.12 × 466.58
  4. Step 4: Simplify right side
    698.38x = 488,098.95
  5. Step 5: Solve for x
    x = 488,098.95/698.38
  6. Step 6: Final answer
    x = 698.90

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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.