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Finding the Fourth Proportional to 698.28, 1,046.10 and 466.47

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Solution

The fourth proportional to 698.28, 1,046.10 and 466.47 is: 698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.28 : 1,046.10 = 466.47 : x
  2. Step 2: Convert to fraction form
    698.28/1,046.10 = 466.47/x
  3. Step 3: Cross multiply
    698.28x = 1,046.10 × 466.47
  4. Step 4: Simplify right side
    698.28x = 487,974.27
  5. Step 5: Solve for x
    x = 487,974.27/698.28
  6. Step 6: Final answer
    x = 698.82

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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.