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Finding the Fourth Proportional to 1,425.25, 2,138.82 and 559.63

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Solution

The fourth proportional to 1,425.25, 2,138.82 and 559.63 is: 839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.25 : 2,138.82 = 559.63 : x
  2. Step 2: Convert to fraction form
    1,425.25/2,138.82 = 559.63/x
  3. Step 3: Cross multiply
    1,425.25x = 2,138.82 × 559.63
  4. Step 4: Simplify right side
    1,425.25x = 1,196,947.84
  5. Step 5: Solve for x
    x = 1,196,947.84/1,425.25
  6. Step 6: Final answer
    x = 839.82

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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.