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Finding the Fourth Proportional to 1,377.78, 2,065.98 and 453.23

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Solution

The fourth proportional to 1,377.78, 2,065.98 and 453.23 is: 679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.78 : 2,065.98 = 453.23 : x
  2. Step 2: Convert to fraction form
    1,377.78/2,065.98 = 453.23/x
  3. Step 3: Cross multiply
    1,377.78x = 2,065.98 × 453.23
  4. Step 4: Simplify right side
    1,377.78x = 936,364.12
  5. Step 5: Solve for x
    x = 936,364.12/1,377.78
  6. Step 6: Final answer
    x = 679.62

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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.