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Finding the Fourth Proportional to 824.13, 1,236.13 and 304.11

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Solution

The fourth proportional to 824.13, 1,236.13 and 304.11 is: 456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.13 : 1,236.13 = 304.11 : x
  2. Step 2: Convert to fraction form
    824.13/1,236.13 = 304.11/x
  3. Step 3: Cross multiply
    824.13x = 1,236.13 × 304.11
  4. Step 4: Simplify right side
    824.13x = 375,918.73
  5. Step 5: Solve for x
    x = 375,918.73/824.13
  6. Step 6: Final answer
    x = 456.14

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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.