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Finding the Fourth Proportional to 758.12, 1,046.34 and 447.80

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Solution

The fourth proportional to 758.12, 1,046.34 and 447.80 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.12 : 1,046.34 = 447.80 : x
  2. Step 2: Convert to fraction form
    758.12/1,046.34 = 447.80/x
  3. Step 3: Cross multiply
    758.12x = 1,046.34 × 447.80
  4. Step 4: Simplify right side
    758.12x = 468,551.05
  5. Step 5: Solve for x
    x = 468,551.05/758.12
  6. Step 6: Final answer
    x = 618.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.