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Finding the Fourth Proportional to 1,377.80, 2,066.46 and 453.33

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Solution

The fourth proportional to 1,377.80, 2,066.46 and 453.33 is: 679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.80 : 2,066.46 = 453.33 : x
  2. Step 2: Convert to fraction form
    1,377.80/2,066.46 = 453.33/x
  3. Step 3: Cross multiply
    1,377.80x = 2,066.46 × 453.33
  4. Step 4: Simplify right side
    1,377.80x = 936,788.31
  5. Step 5: Solve for x
    x = 936,788.31/1,377.80
  6. Step 6: Final answer
    x = 679.92

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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.