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Finding the Fourth Proportional to 836.01, 1,254.45 and 342.79

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Solution

The fourth proportional to 836.01, 1,254.45 and 342.79 is: 514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.01 : 1,254.45 = 342.79 : x
  2. Step 2: Convert to fraction form
    836.01/1,254.45 = 342.79/x
  3. Step 3: Cross multiply
    836.01x = 1,254.45 × 342.79
  4. Step 4: Simplify right side
    836.01x = 430,012.92
  5. Step 5: Solve for x
    x = 430,012.92/836.01
  6. Step 6: Final answer
    x = 514.36

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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.