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Finding the Fourth Proportional to 698.89, 964.52 and 532.82

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Solution

The fourth proportional to 698.89, 964.52 and 532.82 is: 735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.89 : 964.52 = 532.82 : x
  2. Step 2: Convert to fraction form
    698.89/964.52 = 532.82/x
  3. Step 3: Cross multiply
    698.89x = 964.52 × 532.82
  4. Step 4: Simplify right side
    698.89x = 513,912.06
  5. Step 5: Solve for x
    x = 513,912.06/698.89
  6. Step 6: Final answer
    x = 735.33

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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.