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Finding the Fourth Proportional to 726.88, 1,090.48 and 520.96

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Solution

The fourth proportional to 726.88, 1,090.48 and 520.96 is: 781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.88 : 1,090.48 = 520.96 : x
  2. Step 2: Convert to fraction form
    726.88/1,090.48 = 520.96/x
  3. Step 3: Cross multiply
    726.88x = 1,090.48 × 520.96
  4. Step 4: Simplify right side
    726.88x = 568,096.46
  5. Step 5: Solve for x
    x = 568,096.46/726.88
  6. Step 6: Final answer
    x = 781.55

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