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Finding the Fourth Proportional to 641.70, 963.32 and 503.30

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Solution

The fourth proportional to 641.70, 963.32 and 503.30 is: 755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.70 : 963.32 = 503.30 : x
  2. Step 2: Convert to fraction form
    641.70/963.32 = 503.30/x
  3. Step 3: Cross multiply
    641.70x = 963.32 × 503.30
  4. Step 4: Simplify right side
    641.70x = 484,838.96
  5. Step 5: Solve for x
    x = 484,838.96/641.70
  6. Step 6: Final answer
    x = 755.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.