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Finding the Fourth Proportional to 1,048.80, 1,447.34 and 576.73

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Solution

The fourth proportional to 1,048.80, 1,447.34 and 576.73 is: 795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.80 : 1,447.34 = 576.73 : x
  2. Step 2: Convert to fraction form
    1,048.80/1,447.34 = 576.73/x
  3. Step 3: Cross multiply
    1,048.80x = 1,447.34 × 576.73
  4. Step 4: Simplify right side
    1,048.80x = 834,717.90
  5. Step 5: Solve for x
    x = 834,717.90/1,048.80
  6. Step 6: Final answer
    x = 795.88

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Why These Related Problems?

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