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Finding the Fourth Proportional to 1,546.74, 2,319.66 and 450.96

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Solution

The fourth proportional to 1,546.74, 2,319.66 and 450.96 is: 676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.74 : 2,319.66 = 450.96 : x
  2. Step 2: Convert to fraction form
    1,546.74/2,319.66 = 450.96/x
  3. Step 3: Cross multiply
    1,546.74x = 2,319.66 × 450.96
  4. Step 4: Simplify right side
    1,546.74x = 1,046,073.87
  5. Step 5: Solve for x
    x = 1,046,073.87/1,546.74
  6. Step 6: Final answer
    x = 676.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.