Home / 1,035.24-1,549.20-726.36

Finding the Fourth Proportional to 1,035.24, 1,549.20 and 726.36

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Solution

The fourth proportional to 1,035.24, 1,549.20 and 726.36 is: 1,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.24 : 1,549.20 = 726.36 : x
  2. Step 2: Convert to fraction form
    1,035.24/1,549.20 = 726.36/x
  3. Step 3: Cross multiply
    1,035.24x = 1,549.20 × 726.36
  4. Step 4: Simplify right side
    1,035.24x = 1,125,276.91
  5. Step 5: Solve for x
    x = 1,125,276.91/1,035.24
  6. Step 6: Final answer
    x = 1,086.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.