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Finding the Fourth Proportional to 758.95, 1,138.41 and 347.97

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Solution

The fourth proportional to 758.95, 1,138.41 and 347.97 is: 521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.95 : 1,138.41 = 347.97 : x
  2. Step 2: Convert to fraction form
    758.95/1,138.41 = 347.97/x
  3. Step 3: Cross multiply
    758.95x = 1,138.41 × 347.97
  4. Step 4: Simplify right side
    758.95x = 396,126.84
  5. Step 5: Solve for x
    x = 396,126.84/758.95
  6. Step 6: Final answer
    x = 521.94

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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.