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Finding the Fourth Proportional to 1,151.09, 1,726.61 and 371.15

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Solution

The fourth proportional to 1,151.09, 1,726.61 and 371.15 is: 556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.09 : 1,726.61 = 371.15 : x
  2. Step 2: Convert to fraction form
    1,151.09/1,726.61 = 371.15/x
  3. Step 3: Cross multiply
    1,151.09x = 1,726.61 × 371.15
  4. Step 4: Simplify right side
    1,151.09x = 640,820.81
  5. Step 5: Solve for x
    x = 640,820.81/1,151.09
  6. Step 6: Final answer
    x = 556.71

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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.