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Finding the Fourth Proportional to 966.38, 1,449.38 and 472.29

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Solution

The fourth proportional to 966.38, 1,449.38 and 472.29 is: 708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.38 : 1,449.38 = 472.29 : x
  2. Step 2: Convert to fraction form
    966.38/1,449.38 = 472.29/x
  3. Step 3: Cross multiply
    966.38x = 1,449.38 × 472.29
  4. Step 4: Simplify right side
    966.38x = 684,525.32
  5. Step 5: Solve for x
    x = 684,525.32/966.38
  6. Step 6: Final answer
    x = 708.34

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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.