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Finding the Fourth Proportional to 966.04, 1,448.83 and 576.15

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Solution

The fourth proportional to 966.04, 1,448.83 and 576.15 is: 864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.04 : 1,448.83 = 576.15 : x
  2. Step 2: Convert to fraction form
    966.04/1,448.83 = 576.15/x
  3. Step 3: Cross multiply
    966.04x = 1,448.83 × 576.15
  4. Step 4: Simplify right side
    966.04x = 834,741.54
  5. Step 5: Solve for x
    x = 834,741.54/966.04
  6. Step 6: Final answer
    x = 864.09

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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.