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Finding the Fourth Proportional to 698.85, 964.17 and 532.80

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Solution

The fourth proportional to 698.85, 964.17 and 532.80 is: 735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.85 : 964.17 = 532.80 : x
  2. Step 2: Convert to fraction form
    698.85/964.17 = 532.80/x
  3. Step 3: Cross multiply
    698.85x = 964.17 × 532.80
  4. Step 4: Simplify right side
    698.85x = 513,709.78
  5. Step 5: Solve for x
    x = 513,709.78/698.85
  6. Step 6: Final answer
    x = 735.08

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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.