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Finding the Fourth Proportional to 836.92, 1,254.57 and 349.71

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Solution

The fourth proportional to 836.92, 1,254.57 and 349.71 is: 524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.92 : 1,254.57 = 349.71 : x
  2. Step 2: Convert to fraction form
    836.92/1,254.57 = 349.71/x
  3. Step 3: Cross multiply
    836.92x = 1,254.57 × 349.71
  4. Step 4: Simplify right side
    836.92x = 438,735.67
  5. Step 5: Solve for x
    x = 438,735.67/836.92
  6. Step 6: Final answer
    x = 524.23

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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.