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Finding the Fourth Proportional to 697.34, 1,046.51 and 562.02

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Solution

The fourth proportional to 697.34, 1,046.51 and 562.02 is: 843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.34 : 1,046.51 = 562.02 : x
  2. Step 2: Convert to fraction form
    697.34/1,046.51 = 562.02/x
  3. Step 3: Cross multiply
    697.34x = 1,046.51 × 562.02
  4. Step 4: Simplify right side
    697.34x = 588,160.96
  5. Step 5: Solve for x
    x = 588,160.96/697.34
  6. Step 6: Final answer
    x = 843.44

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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.