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Finding the Fourth Proportional to 698.80, 1,046.13 and 424.06

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Solution

The fourth proportional to 698.80, 1,046.13 and 424.06 is: 634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.80 : 1,046.13 = 424.06 : x
  2. Step 2: Convert to fraction form
    698.80/1,046.13 = 424.06/x
  3. Step 3: Cross multiply
    698.80x = 1,046.13 × 424.06
  4. Step 4: Simplify right side
    698.80x = 443,621.89
  5. Step 5: Solve for x
    x = 443,621.89/698.80
  6. Step 6: Final answer
    x = 634.83

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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.