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Finding the Fourth Proportional to 726.86, 1,089.48 and 316.20

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Solution

The fourth proportional to 726.86, 1,089.48 and 316.20 is: 473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.86 : 1,089.48 = 316.20 : x
  2. Step 2: Convert to fraction form
    726.86/1,089.48 = 316.20/x
  3. Step 3: Cross multiply
    726.86x = 1,089.48 × 316.20
  4. Step 4: Simplify right side
    726.86x = 344,493.58
  5. Step 5: Solve for x
    x = 344,493.58/726.86
  6. Step 6: Final answer
    x = 473.95

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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.