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Finding the Fourth Proportional to 1,350.88, 2,026.33 and 426.58

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Solution

The fourth proportional to 1,350.88, 2,026.33 and 426.58 is: 639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.88 : 2,026.33 = 426.58 : x
  2. Step 2: Convert to fraction form
    1,350.88/2,026.33 = 426.58/x
  3. Step 3: Cross multiply
    1,350.88x = 2,026.33 × 426.58
  4. Step 4: Simplify right side
    1,350.88x = 864,385.72
  5. Step 5: Solve for x
    x = 864,385.72/1,350.88
  6. Step 6: Final answer
    x = 639.87

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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.