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Finding the Fourth Proportional to 1,151.92, 1,726.65 and 567.31

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Solution

The fourth proportional to 1,151.92, 1,726.65 and 567.31 is: 850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.92 : 1,726.65 = 567.31 : x
  2. Step 2: Convert to fraction form
    1,151.92/1,726.65 = 567.31/x
  3. Step 3: Cross multiply
    1,151.92x = 1,726.65 × 567.31
  4. Step 4: Simplify right side
    1,151.92x = 979,545.81
  5. Step 5: Solve for x
    x = 979,545.81/1,151.92
  6. Step 6: Final answer
    x = 850.36

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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.