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Finding the Fourth Proportional to 781.24, 1,078.19 and 584.41

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Solution

The fourth proportional to 781.24, 1,078.19 and 584.41 is: 806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.24 : 1,078.19 = 584.41 : x
  2. Step 2: Convert to fraction form
    781.24/1,078.19 = 584.41/x
  3. Step 3: Cross multiply
    781.24x = 1,078.19 × 584.41
  4. Step 4: Simplify right side
    781.24x = 630,105.02
  5. Step 5: Solve for x
    x = 630,105.02/781.24
  6. Step 6: Final answer
    x = 806.54

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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.