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Finding the Fourth Proportional to 836.13, 1,253.44 and 316.03

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Solution

The fourth proportional to 836.13, 1,253.44 and 316.03 is: 473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.13 : 1,253.44 = 316.03 : x
  2. Step 2: Convert to fraction form
    836.13/1,253.44 = 316.03/x
  3. Step 3: Cross multiply
    836.13x = 1,253.44 × 316.03
  4. Step 4: Simplify right side
    836.13x = 396,129.33
  5. Step 5: Solve for x
    x = 396,129.33/836.13
  6. Step 6: Final answer
    x = 473.77

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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.