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Finding the Fourth Proportional to 640.22, 965.07 and 532.71

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Solution

The fourth proportional to 640.22, 965.07 and 532.71 is: 803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.22 : 965.07 = 532.71 : x
  2. Step 2: Convert to fraction form
    640.22/965.07 = 532.71/x
  3. Step 3: Cross multiply
    640.22x = 965.07 × 532.71
  4. Step 4: Simplify right side
    640.22x = 514,102.44
  5. Step 5: Solve for x
    x = 514,102.44/640.22
  6. Step 6: Final answer
    x = 803.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.