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Finding the Fourth Proportional to 836.54, 1,254.14 and 349.96

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Solution

The fourth proportional to 836.54, 1,254.14 and 349.96 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.54 : 1,254.14 = 349.96 : x
  2. Step 2: Convert to fraction form
    836.54/1,254.14 = 349.96/x
  3. Step 3: Cross multiply
    836.54x = 1,254.14 × 349.96
  4. Step 4: Simplify right side
    836.54x = 438,898.83
  5. Step 5: Solve for x
    x = 438,898.83/836.54
  6. Step 6: Final answer
    x = 524.66

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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.