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Finding the Fourth Proportional to 759.10, 1,046.42 and 463.85

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Solution

The fourth proportional to 759.10, 1,046.42 and 463.85 is: 639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.10 : 1,046.42 = 463.85 : x
  2. Step 2: Convert to fraction form
    759.10/1,046.42 = 463.85/x
  3. Step 3: Cross multiply
    759.10x = 1,046.42 × 463.85
  4. Step 4: Simplify right side
    759.10x = 485,382.97
  5. Step 5: Solve for x
    x = 485,382.97/759.10
  6. Step 6: Final answer
    x = 639.42

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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.