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Finding the Fourth Proportional to 966.83, 1,449.78 and 479.31

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Solution

The fourth proportional to 966.83, 1,449.78 and 479.31 is: 718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.83 : 1,449.78 = 479.31 : x
  2. Step 2: Convert to fraction form
    966.83/1,449.78 = 479.31/x
  3. Step 3: Cross multiply
    966.83x = 1,449.78 × 479.31
  4. Step 4: Simplify right side
    966.83x = 694,894.05
  5. Step 5: Solve for x
    x = 694,894.05/966.83
  6. Step 6: Final answer
    x = 718.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.