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Finding the Fourth Proportional to 833.98, 1,251.36 and 371.71

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Solution

The fourth proportional to 833.98, 1,251.36 and 371.71 is: 557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.98 : 1,251.36 = 371.71 : x
  2. Step 2: Convert to fraction form
    833.98/1,251.36 = 371.71/x
  3. Step 3: Cross multiply
    833.98x = 1,251.36 × 371.71
  4. Step 4: Simplify right side
    833.98x = 465,144.59
  5. Step 5: Solve for x
    x = 465,144.59/833.98
  6. Step 6: Final answer
    x = 557.74

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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.