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Finding the Fourth Proportional to 1,151.81, 1,727.54 and 371.71

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Solution

The fourth proportional to 1,151.81, 1,727.54 and 371.71 is: 557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.81 : 1,727.54 = 371.71 : x
  2. Step 2: Convert to fraction form
    1,151.81/1,727.54 = 371.71/x
  3. Step 3: Cross multiply
    1,151.81x = 1,727.54 × 371.71
  4. Step 4: Simplify right side
    1,151.81x = 642,143.89
  5. Step 5: Solve for x
    x = 642,143.89/1,151.81
  6. Step 6: Final answer
    x = 557.51

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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.