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Finding the Fourth Proportional to 697.82, 1,046.88 and 560.52

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Solution

The fourth proportional to 697.82, 1,046.88 and 560.52 is: 840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.82 : 1,046.88 = 560.52 : x
  2. Step 2: Convert to fraction form
    697.82/1,046.88 = 560.52/x
  3. Step 3: Cross multiply
    697.82x = 1,046.88 × 560.52
  4. Step 4: Simplify right side
    697.82x = 586,797.18
  5. Step 5: Solve for x
    x = 586,797.18/697.82
  6. Step 6: Final answer
    x = 840.91

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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.