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Finding the Fourth Proportional to 758.28, 1,046.10 and 478.29

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Solution

The fourth proportional to 758.28, 1,046.10 and 478.29 is: 659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.28 : 1,046.10 = 478.29 : x
  2. Step 2: Convert to fraction form
    758.28/1,046.10 = 478.29/x
  3. Step 3: Cross multiply
    758.28x = 1,046.10 × 478.29
  4. Step 4: Simplify right side
    758.28x = 500,339.17
  5. Step 5: Solve for x
    x = 500,339.17/758.28
  6. Step 6: Final answer
    x = 659.83

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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.