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Finding the Fourth Proportional to 698.86, 962.22 and 532.54

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Solution

The fourth proportional to 698.86, 962.22 and 532.54 is: 733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.86 : 962.22 = 532.54 : x
  2. Step 2: Convert to fraction form
    698.86/962.22 = 532.54/x
  3. Step 3: Cross multiply
    698.86x = 962.22 × 532.54
  4. Step 4: Simplify right side
    698.86x = 512,420.64
  5. Step 5: Solve for x
    x = 512,420.64/698.86
  6. Step 6: Final answer
    x = 733.22

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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.