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Finding the Fourth Proportional to 836.88, 1,254.42 and 349.68

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Solution

The fourth proportional to 836.88, 1,254.42 and 349.68 is: 524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.88 : 1,254.42 = 349.68 : x
  2. Step 2: Convert to fraction form
    836.88/1,254.42 = 349.68/x
  3. Step 3: Cross multiply
    836.88x = 1,254.42 × 349.68
  4. Step 4: Simplify right side
    836.88x = 438,645.59
  5. Step 5: Solve for x
    x = 438,645.59/836.88
  6. Step 6: Final answer
    x = 524.14

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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.