Home / 1,299.62-1,948.73-780.21

Finding the Fourth Proportional to 1,299.62, 1,948.73 and 780.21

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Solution

The fourth proportional to 1,299.62, 1,948.73 and 780.21 is: 1,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.62 : 1,948.73 = 780.21 : x
  2. Step 2: Convert to fraction form
    1,299.62/1,948.73 = 780.21/x
  3. Step 3: Cross multiply
    1,299.62x = 1,948.73 × 780.21
  4. Step 4: Simplify right side
    1,299.62x = 1,520,414.73
  5. Step 5: Solve for x
    x = 1,520,414.73/1,299.62
  6. Step 6: Final answer
    x = 1,169.89

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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.