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Finding the Fourth Proportional to 759.88, 1,138.02 and 470.44

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Solution

The fourth proportional to 759.88, 1,138.02 and 470.44 is: 704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.88 : 1,138.02 = 470.44 : x
  2. Step 2: Convert to fraction form
    759.88/1,138.02 = 470.44/x
  3. Step 3: Cross multiply
    759.88x = 1,138.02 × 470.44
  4. Step 4: Simplify right side
    759.88x = 535,370.13
  5. Step 5: Solve for x
    x = 535,370.13/759.88
  6. Step 6: Final answer
    x = 704.55

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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.