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Finding the Fourth Proportional to 758.43, 1,046.57 and 443.68

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Solution

The fourth proportional to 758.43, 1,046.57 and 443.68 is: 612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.43 : 1,046.57 = 443.68 : x
  2. Step 2: Convert to fraction form
    758.43/1,046.57 = 443.68/x
  3. Step 3: Cross multiply
    758.43x = 1,046.57 × 443.68
  4. Step 4: Simplify right side
    758.43x = 464,341.27
  5. Step 5: Solve for x
    x = 464,341.27/758.43
  6. Step 6: Final answer
    x = 612.24

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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.