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Finding the Fourth Proportional to 1,380.31, 2,069.08 and 559.05

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Solution

The fourth proportional to 1,380.31, 2,069.08 and 559.05 is: 838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.31 : 2,069.08 = 559.05 : x
  2. Step 2: Convert to fraction form
    1,380.31/2,069.08 = 559.05/x
  3. Step 3: Cross multiply
    1,380.31x = 2,069.08 × 559.05
  4. Step 4: Simplify right side
    1,380.31x = 1,156,719.17
  5. Step 5: Solve for x
    x = 1,156,719.17/1,380.31
  6. Step 6: Final answer
    x = 838.01

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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.