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Finding the Fourth Proportional to 781.83, 1,078.49 and 516.44

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Solution

The fourth proportional to 781.83, 1,078.49 and 516.44 is: 712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.83 : 1,078.49 = 516.44 : x
  2. Step 2: Convert to fraction form
    781.83/1,078.49 = 516.44/x
  3. Step 3: Cross multiply
    781.83x = 1,078.49 × 516.44
  4. Step 4: Simplify right side
    781.83x = 556,967.40
  5. Step 5: Solve for x
    x = 556,967.40/781.83
  6. Step 6: Final answer
    x = 712.39

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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.