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Finding the Fourth Proportional to 1,150.74, 1,726.02 and 370.83

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Solution

The fourth proportional to 1,150.74, 1,726.02 and 370.83 is: 556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.74 : 1,726.02 = 370.83 : x
  2. Step 2: Convert to fraction form
    1,150.74/1,726.02 = 370.83/x
  3. Step 3: Cross multiply
    1,150.74x = 1,726.02 × 370.83
  4. Step 4: Simplify right side
    1,150.74x = 640,066.47
  5. Step 5: Solve for x
    x = 640,066.47/1,150.74
  6. Step 6: Final answer
    x = 556.22

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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.