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Finding the Fourth Proportional to 966.32, 1,449.70 and 472.36

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Solution

The fourth proportional to 966.32, 1,449.70 and 472.36 is: 708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.32 : 1,449.70 = 472.36 : x
  2. Step 2: Convert to fraction form
    966.32/1,449.70 = 472.36/x
  3. Step 3: Cross multiply
    966.32x = 1,449.70 × 472.36
  4. Step 4: Simplify right side
    966.32x = 684,780.29
  5. Step 5: Solve for x
    x = 684,780.29/966.32
  6. Step 6: Final answer
    x = 708.65

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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.