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Finding the Fourth Proportional to 1,151.98, 1,726.89 and 574.22

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Solution

The fourth proportional to 1,151.98, 1,726.89 and 574.22 is: 860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.98 : 1,726.89 = 574.22 : x
  2. Step 2: Convert to fraction form
    1,151.98/1,726.89 = 574.22/x
  3. Step 3: Cross multiply
    1,151.98x = 1,726.89 × 574.22
  4. Step 4: Simplify right side
    1,151.98x = 991,614.78
  5. Step 5: Solve for x
    x = 991,614.78/1,151.98
  6. Step 6: Final answer
    x = 860.79

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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.