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Finding the Fourth Proportional to 781.46, 1,077.92 and 594.54

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Solution

The fourth proportional to 781.46, 1,077.92 and 594.54 is: 820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.46 : 1,077.92 = 594.54 : x
  2. Step 2: Convert to fraction form
    781.46/1,077.92 = 594.54/x
  3. Step 3: Cross multiply
    781.46x = 1,077.92 × 594.54
  4. Step 4: Simplify right side
    781.46x = 640,866.56
  5. Step 5: Solve for x
    x = 640,866.56/781.46
  6. Step 6: Final answer
    x = 820.09

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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.