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Finding the Fourth Proportional to 757.98, 1,046.05 and 478.11

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Solution

The fourth proportional to 757.98, 1,046.05 and 478.11 is: 659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.98 : 1,046.05 = 478.11 : x
  2. Step 2: Convert to fraction form
    757.98/1,046.05 = 478.11/x
  3. Step 3: Cross multiply
    757.98x = 1,046.05 × 478.11
  4. Step 4: Simplify right side
    757.98x = 500,126.97
  5. Step 5: Solve for x
    x = 500,126.97/757.98
  6. Step 6: Final answer
    x = 659.82

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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.