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Finding the Fourth Proportional to 841.29, 1,161.12 and 487.43

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Solution

The fourth proportional to 841.29, 1,161.12 and 487.43 is: 672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.29 : 1,161.12 = 487.43 : x
  2. Step 2: Convert to fraction form
    841.29/1,161.12 = 487.43/x
  3. Step 3: Cross multiply
    841.29x = 1,161.12 × 487.43
  4. Step 4: Simplify right side
    841.29x = 565,964.72
  5. Step 5: Solve for x
    x = 565,964.72/841.29
  6. Step 6: Final answer
    x = 672.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.