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Finding the Fourth Proportional to 697.55, 1,044.34 and 532.82

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Solution

The fourth proportional to 697.55, 1,044.34 and 532.82 is: 797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.55 : 1,044.34 = 532.82 : x
  2. Step 2: Convert to fraction form
    697.55/1,044.34 = 532.82/x
  3. Step 3: Cross multiply
    697.55x = 1,044.34 × 532.82
  4. Step 4: Simplify right side
    697.55x = 556,446.52
  5. Step 5: Solve for x
    x = 556,446.52/697.55
  6. Step 6: Final answer
    x = 797.72

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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.