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Finding the Fourth Proportional to 641.85, 962.77 and 533.71

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Solution

The fourth proportional to 641.85, 962.77 and 533.71 is: 800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.85 : 962.77 = 533.71 : x
  2. Step 2: Convert to fraction form
    641.85/962.77 = 533.71/x
  3. Step 3: Cross multiply
    641.85x = 962.77 × 533.71
  4. Step 4: Simplify right side
    641.85x = 513,839.98
  5. Step 5: Solve for x
    x = 513,839.98/641.85
  6. Step 6: Final answer
    x = 800.56

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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.