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Finding the Fourth Proportional to 758.39, 1,138.12 and 514.31

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Solution

The fourth proportional to 758.39, 1,138.12 and 514.31 is: 771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.39 : 1,138.12 = 514.31 : x
  2. Step 2: Convert to fraction form
    758.39/1,138.12 = 514.31/x
  3. Step 3: Cross multiply
    758.39x = 1,138.12 × 514.31
  4. Step 4: Simplify right side
    758.39x = 585,339.52
  5. Step 5: Solve for x
    x = 585,339.52/758.39
  6. Step 6: Final answer
    x = 771.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.