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Finding the Fourth Proportional to 698.97, 1,049.27 and 374.97

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Solution

The fourth proportional to 698.97, 1,049.27 and 374.97 is: 562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.97 : 1,049.27 = 374.97 : x
  2. Step 2: Convert to fraction form
    698.97/1,049.27 = 374.97/x
  3. Step 3: Cross multiply
    698.97x = 1,049.27 × 374.97
  4. Step 4: Simplify right side
    698.97x = 393,442.90
  5. Step 5: Solve for x
    x = 393,442.90/698.97
  6. Step 6: Final answer
    x = 562.89

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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.