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Finding the Fourth Proportional to 966.24, 1,449.77 and 694.49

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Solution

The fourth proportional to 966.24, 1,449.77 and 694.49 is: 1,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.24 : 1,449.77 = 694.49 : x
  2. Step 2: Convert to fraction form
    966.24/1,449.77 = 694.49/x
  3. Step 3: Cross multiply
    966.24x = 1,449.77 × 694.49
  4. Step 4: Simplify right side
    966.24x = 1,006,840.05
  5. Step 5: Solve for x
    x = 1,006,840.05/966.24
  6. Step 6: Final answer
    x = 1,042.02

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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.