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Finding the Fourth Proportional to 943.04, 1,412.52 and 576.72

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Solution

The fourth proportional to 943.04, 1,412.52 and 576.72 is: 863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.04 : 1,412.52 = 576.72 : x
  2. Step 2: Convert to fraction form
    943.04/1,412.52 = 576.72/x
  3. Step 3: Cross multiply
    943.04x = 1,412.52 × 576.72
  4. Step 4: Simplify right side
    943.04x = 814,628.53
  5. Step 5: Solve for x
    x = 814,628.53/943.04
  6. Step 6: Final answer
    x = 863.83

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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.