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Finding the Fourth Proportional to 726.11, 1,087.23 and 495.45

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Solution

The fourth proportional to 726.11, 1,087.23 and 495.45 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.11 : 1,087.23 = 495.45 : x
  2. Step 2: Convert to fraction form
    726.11/1,087.23 = 495.45/x
  3. Step 3: Cross multiply
    726.11x = 1,087.23 × 495.45
  4. Step 4: Simplify right side
    726.11x = 538,668.10
  5. Step 5: Solve for x
    x = 538,668.10/726.11
  6. Step 6: Final answer
    x = 741.85

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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.