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Finding the Fourth Proportional to 1,380.34, 2,069.22 and 514

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Solution

The fourth proportional to 1,380.34, 2,069.22 and 514 is: 770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.34 : 2,069.22 = 514 : x
  2. Step 2: Convert to fraction form
    1,380.34/2,069.22 = 514/x
  3. Step 3: Cross multiply
    1,380.34x = 2,069.22 × 514
  4. Step 4: Simplify right side
    1,380.34x = 1,063,579.08
  5. Step 5: Solve for x
    x = 1,063,579.08/1,380.34
  6. Step 6: Final answer
    x = 770.52

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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.