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Finding the Fourth Proportional to 836.04, 1,253.07 and 342.14

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Solution

The fourth proportional to 836.04, 1,253.07 and 342.14 is: 512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.04 : 1,253.07 = 342.14 : x
  2. Step 2: Convert to fraction form
    836.04/1,253.07 = 342.14/x
  3. Step 3: Cross multiply
    836.04x = 1,253.07 × 342.14
  4. Step 4: Simplify right side
    836.04x = 428,725.37
  5. Step 5: Solve for x
    x = 428,725.37/836.04
  6. Step 6: Final answer
    x = 512.80

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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.