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Finding the Fourth Proportional to 1,350.96, 2,026.08 and 426.30

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Solution

The fourth proportional to 1,350.96, 2,026.08 and 426.30 is: 639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.96 : 2,026.08 = 426.30 : x
  2. Step 2: Convert to fraction form
    1,350.96/2,026.08 = 426.30/x
  3. Step 3: Cross multiply
    1,350.96x = 2,026.08 × 426.30
  4. Step 4: Simplify right side
    1,350.96x = 863,717.90
  5. Step 5: Solve for x
    x = 863,717.90/1,350.96
  6. Step 6: Final answer
    x = 639.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.