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Finding the Fourth Proportional to 758.75, 1,046.81 and 460.08

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Solution

The fourth proportional to 758.75, 1,046.81 and 460.08 is: 634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.75 : 1,046.81 = 460.08 : x
  2. Step 2: Convert to fraction form
    758.75/1,046.81 = 460.08/x
  3. Step 3: Cross multiply
    758.75x = 1,046.81 × 460.08
  4. Step 4: Simplify right side
    758.75x = 481,614.04
  5. Step 5: Solve for x
    x = 481,614.04/758.75
  6. Step 6: Final answer
    x = 634.75

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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.