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Finding the Fourth Proportional to 758.80, 1,138.23 and 429.73

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Solution

The fourth proportional to 758.80, 1,138.23 and 429.73 is: 644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.80 : 1,138.23 = 429.73 : x
  2. Step 2: Convert to fraction form
    758.80/1,138.23 = 429.73/x
  3. Step 3: Cross multiply
    758.80x = 1,138.23 × 429.73
  4. Step 4: Simplify right side
    758.80x = 489,131.58
  5. Step 5: Solve for x
    x = 489,131.58/758.80
  6. Step 6: Final answer
    x = 644.61

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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.