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Finding the Fourth Proportional to 1,147.18, 1,582.96 and 726.79

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Solution

The fourth proportional to 1,147.18, 1,582.96 and 726.79 is: 1,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.18 : 1,582.96 = 726.79 : x
  2. Step 2: Convert to fraction form
    1,147.18/1,582.96 = 726.79/x
  3. Step 3: Cross multiply
    1,147.18x = 1,582.96 × 726.79
  4. Step 4: Simplify right side
    1,147.18x = 1,150,478.18
  5. Step 5: Solve for x
    x = 1,150,478.18/1,147.18
  6. Step 6: Final answer
    x = 1,002.87

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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.