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Finding the Fourth Proportional to 645.18, 966.41 and 535.22

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Solution

The fourth proportional to 645.18, 966.41 and 535.22 is: 801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.18 : 966.41 = 535.22 : x
  2. Step 2: Convert to fraction form
    645.18/966.41 = 535.22/x
  3. Step 3: Cross multiply
    645.18x = 966.41 × 535.22
  4. Step 4: Simplify right side
    645.18x = 517,248.53
  5. Step 5: Solve for x
    x = 517,248.53/645.18
  6. Step 6: Final answer
    x = 801.71

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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.