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Finding the Fourth Proportional to 1,048.97, 1,447.61 and 576.87

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Solution

The fourth proportional to 1,048.97, 1,447.61 and 576.87 is: 796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.97 : 1,447.61 = 576.87 : x
  2. Step 2: Convert to fraction form
    1,048.97/1,447.61 = 576.87/x
  3. Step 3: Cross multiply
    1,048.97x = 1,447.61 × 576.87
  4. Step 4: Simplify right side
    1,048.97x = 835,079.90
  5. Step 5: Solve for x
    x = 835,079.90/1,048.97
  6. Step 6: Final answer
    x = 796.10

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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.