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Finding the Fourth Proportional to 726.72, 1,090.68 and 697.56

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Solution

The fourth proportional to 726.72, 1,090.68 and 697.56 is: 1,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.72 : 1,090.68 = 697.56 : x
  2. Step 2: Convert to fraction form
    726.72/1,090.68 = 697.56/x
  3. Step 3: Cross multiply
    726.72x = 1,090.68 × 697.56
  4. Step 4: Simplify right side
    726.72x = 760,814.74
  5. Step 5: Solve for x
    x = 760,814.74/726.72
  6. Step 6: Final answer
    x = 1,046.92

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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.