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Finding the Fourth Proportional to 1,350.78, 2,026.02 and 426.30

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Solution

The fourth proportional to 1,350.78, 2,026.02 and 426.30 is: 639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.78 : 2,026.02 = 426.30 : x
  2. Step 2: Convert to fraction form
    1,350.78/2,026.02 = 426.30/x
  3. Step 3: Cross multiply
    1,350.78x = 2,026.02 × 426.30
  4. Step 4: Simplify right side
    1,350.78x = 863,692.33
  5. Step 5: Solve for x
    x = 863,692.33/1,350.78
  6. Step 6: Final answer
    x = 639.40

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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.