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Finding the Fourth Proportional to 974.05, 1,344.02 and 575.69

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Solution

The fourth proportional to 974.05, 1,344.02 and 575.69 is: 794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.05 : 1,344.02 = 575.69 : x
  2. Step 2: Convert to fraction form
    974.05/1,344.02 = 575.69/x
  3. Step 3: Cross multiply
    974.05x = 1,344.02 × 575.69
  4. Step 4: Simplify right side
    974.05x = 773,732.78
  5. Step 5: Solve for x
    x = 773,732.78/974.05
  6. Step 6: Final answer
    x = 794.34

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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.