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Finding the Fourth Proportional to 758.84, 1,138.14 and 393.44

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Solution

The fourth proportional to 758.84, 1,138.14 and 393.44 is: 590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,138.14 = 393.44 : x
  2. Step 2: Convert to fraction form
    758.84/1,138.14 = 393.44/x
  3. Step 3: Cross multiply
    758.84x = 1,138.14 × 393.44
  4. Step 4: Simplify right side
    758.84x = 447,789.80
  5. Step 5: Solve for x
    x = 447,789.80/758.84
  6. Step 6: Final answer
    x = 590.10

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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.