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Finding the Fourth Proportional to 758.40, 1,046.28 and 447.84

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Solution

The fourth proportional to 758.40, 1,046.28 and 447.84 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.40 : 1,046.28 = 447.84 : x
  2. Step 2: Convert to fraction form
    758.40/1,046.28 = 447.84/x
  3. Step 3: Cross multiply
    758.40x = 1,046.28 × 447.84
  4. Step 4: Simplify right side
    758.40x = 468,566.04
  5. Step 5: Solve for x
    x = 468,566.04/758.40
  6. Step 6: Final answer
    x = 617.83

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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.