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Finding the Fourth Proportional to 1,350.93, 2,026.65 and 426.24

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Solution

The fourth proportional to 1,350.93, 2,026.65 and 426.24 is: 639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.93 : 2,026.65 = 426.24 : x
  2. Step 2: Convert to fraction form
    1,350.93/2,026.65 = 426.24/x
  3. Step 3: Cross multiply
    1,350.93x = 2,026.65 × 426.24
  4. Step 4: Simplify right side
    1,350.93x = 863,839.30
  5. Step 5: Solve for x
    x = 863,839.30/1,350.93
  6. Step 6: Final answer
    x = 639.44

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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.