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Finding the Fourth Proportional to 963.76, 1,446.12 and 617.04

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Solution

The fourth proportional to 963.76, 1,446.12 and 617.04 is: 925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.76 : 1,446.12 = 617.04 : x
  2. Step 2: Convert to fraction form
    963.76/1,446.12 = 617.04/x
  3. Step 3: Cross multiply
    963.76x = 1,446.12 × 617.04
  4. Step 4: Simplify right side
    963.76x = 892,313.88
  5. Step 5: Solve for x
    x = 892,313.88/963.76
  6. Step 6: Final answer
    x = 925.87

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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.