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Finding the Fourth Proportional to 698.10, 963.14 and 532.05

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Solution

The fourth proportional to 698.10, 963.14 and 532.05 is: 734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.10 : 963.14 = 532.05 : x
  2. Step 2: Convert to fraction form
    698.10/963.14 = 532.05/x
  3. Step 3: Cross multiply
    698.10x = 963.14 × 532.05
  4. Step 4: Simplify right side
    698.10x = 512,435.98
  5. Step 5: Solve for x
    x = 512,435.98/698.10
  6. Step 6: Final answer
    x = 734.04

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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.