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Finding the Fourth Proportional to 966.83, 1,449.53 and 480.23

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Solution

The fourth proportional to 966.83, 1,449.53 and 480.23 is: 719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.83 : 1,449.53 = 480.23 : x
  2. Step 2: Convert to fraction form
    966.83/1,449.53 = 480.23/x
  3. Step 3: Cross multiply
    966.83x = 1,449.53 × 480.23
  4. Step 4: Simplify right side
    966.83x = 696,098.14
  5. Step 5: Solve for x
    x = 696,098.14/966.83
  6. Step 6: Final answer
    x = 719.98

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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.