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Finding the Fourth Proportional to 1,034.63, 1,428.09 and 824.73

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Solution

The fourth proportional to 1,034.63, 1,428.09 and 824.73 is: 1,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.63 : 1,428.09 = 824.73 : x
  2. Step 2: Convert to fraction form
    1,034.63/1,428.09 = 824.73/x
  3. Step 3: Cross multiply
    1,034.63x = 1,428.09 × 824.73
  4. Step 4: Simplify right side
    1,034.63x = 1,177,781.53
  5. Step 5: Solve for x
    x = 1,177,781.53/1,034.63
  6. Step 6: Final answer
    x = 1,138.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.