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Finding the Fourth Proportional to 1,376.39, 2,064.49 and 451.78

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Solution

The fourth proportional to 1,376.39, 2,064.49 and 451.78 is: 677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.39 : 2,064.49 = 451.78 : x
  2. Step 2: Convert to fraction form
    1,376.39/2,064.49 = 451.78/x
  3. Step 3: Cross multiply
    1,376.39x = 2,064.49 × 451.78
  4. Step 4: Simplify right side
    1,376.39x = 932,689.00
  5. Step 5: Solve for x
    x = 932,689.00/1,376.39
  6. Step 6: Final answer
    x = 677.63

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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.