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Finding the Fourth Proportional to 1,380.36, 2,069.82 and 514.92

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Solution

The fourth proportional to 1,380.36, 2,069.82 and 514.92 is: 772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.36 : 2,069.82 = 514.92 : x
  2. Step 2: Convert to fraction form
    1,380.36/2,069.82 = 514.92/x
  3. Step 3: Cross multiply
    1,380.36x = 2,069.82 × 514.92
  4. Step 4: Simplify right side
    1,380.36x = 1,065,791.71
  5. Step 5: Solve for x
    x = 1,065,791.71/1,380.36
  6. Step 6: Final answer
    x = 772.11

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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.