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Finding the Fourth Proportional to 726.12, 1,089.18 and 509.80

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Solution

The fourth proportional to 726.12, 1,089.18 and 509.80 is: 764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.12 : 1,089.18 = 509.80 : x
  2. Step 2: Convert to fraction form
    726.12/1,089.18 = 509.80/x
  3. Step 3: Cross multiply
    726.12x = 1,089.18 × 509.80
  4. Step 4: Simplify right side
    726.12x = 555,263.96
  5. Step 5: Solve for x
    x = 555,263.96/726.12
  6. Step 6: Final answer
    x = 764.70

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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.