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Finding the Fourth Proportional to 1,048.69, 1,447.23 and 576.60

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Solution

The fourth proportional to 1,048.69, 1,447.23 and 576.60 is: 795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.69 : 1,447.23 = 576.60 : x
  2. Step 2: Convert to fraction form
    1,048.69/1,447.23 = 576.60/x
  3. Step 3: Cross multiply
    1,048.69x = 1,447.23 × 576.60
  4. Step 4: Simplify right side
    1,048.69x = 834,472.82
  5. Step 5: Solve for x
    x = 834,472.82/1,048.69
  6. Step 6: Final answer
    x = 795.73

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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.