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Finding the Fourth Proportional to 758.28, 1,046.12 and 463.44

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Solution

The fourth proportional to 758.28, 1,046.12 and 463.44 is: 639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.28 : 1,046.12 = 463.44 : x
  2. Step 2: Convert to fraction form
    758.28/1,046.12 = 463.44/x
  3. Step 3: Cross multiply
    758.28x = 1,046.12 × 463.44
  4. Step 4: Simplify right side
    758.28x = 484,813.85
  5. Step 5: Solve for x
    x = 484,813.85/758.28
  6. Step 6: Final answer
    x = 639.36

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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.