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Finding the Fourth Proportional to 698.32, 963.80 and 532.22

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Solution

The fourth proportional to 698.32, 963.80 and 532.22 is: 734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 963.80 = 532.22 : x
  2. Step 2: Convert to fraction form
    698.32/963.80 = 532.22/x
  3. Step 3: Cross multiply
    698.32x = 963.80 × 532.22
  4. Step 4: Simplify right side
    698.32x = 512,953.57
  5. Step 5: Solve for x
    x = 512,953.57/698.32
  6. Step 6: Final answer
    x = 734.55

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Double scale
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1.5x scale

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.