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Finding the Fourth Proportional to 1,151.60, 1,726.97 and 371.41

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Solution

The fourth proportional to 1,151.60, 1,726.97 and 371.41 is: 556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.60 : 1,726.97 = 371.41 : x
  2. Step 2: Convert to fraction form
    1,151.60/1,726.97 = 371.41/x
  3. Step 3: Cross multiply
    1,151.60x = 1,726.97 × 371.41
  4. Step 4: Simplify right side
    1,151.60x = 641,405.29
  5. Step 5: Solve for x
    x = 641,405.29/1,151.60
  6. Step 6: Final answer
    x = 556.97

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Why These Related Problems?

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