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Finding the Fourth Proportional to 697.53, 963.06 and 539.90

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Solution

The fourth proportional to 697.53, 963.06 and 539.90 is: 745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 963.06 = 539.90 : x
  2. Step 2: Convert to fraction form
    697.53/963.06 = 539.90/x
  3. Step 3: Cross multiply
    697.53x = 963.06 × 539.90
  4. Step 4: Simplify right side
    697.53x = 519,951.28
  5. Step 5: Solve for x
    x = 519,951.28/697.53
  6. Step 6: Final answer
    x = 745.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.