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Finding the Fourth Proportional to 698.60, 964.19 and 532.51

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Solution

The fourth proportional to 698.60, 964.19 and 532.51 is: 734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.60 : 964.19 = 532.51 : x
  2. Step 2: Convert to fraction form
    698.60/964.19 = 532.51/x
  3. Step 3: Cross multiply
    698.60x = 964.19 × 532.51
  4. Step 4: Simplify right side
    698.60x = 513,439.74
  5. Step 5: Solve for x
    x = 513,439.74/698.60
  6. Step 6: Final answer
    x = 734.95

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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.