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Finding the Fourth Proportional to 726.24, 1,089.75 and 315.37

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Solution

The fourth proportional to 726.24, 1,089.75 and 315.37 is: 473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.24 : 1,089.75 = 315.37 : x
  2. Step 2: Convert to fraction form
    726.24/1,089.75 = 315.37/x
  3. Step 3: Cross multiply
    726.24x = 1,089.75 × 315.37
  4. Step 4: Simplify right side
    726.24x = 343,675.82
  5. Step 5: Solve for x
    x = 343,675.82/726.24
  6. Step 6: Final answer
    x = 473.23

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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.