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Finding the Fourth Proportional to 1,380.88, 2,071.62 and 559.20

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Solution

The fourth proportional to 1,380.88, 2,071.62 and 559.20 is: 838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.88 : 2,071.62 = 559.20 : x
  2. Step 2: Convert to fraction form
    1,380.88/2,071.62 = 559.20/x
  3. Step 3: Cross multiply
    1,380.88x = 2,071.62 × 559.20
  4. Step 4: Simplify right side
    1,380.88x = 1,158,447.11
  5. Step 5: Solve for x
    x = 1,158,447.11/1,380.88
  6. Step 6: Final answer
    x = 838.92

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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.