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Finding the Fourth Proportional to 1,043.41, 1,563.81 and 426.78

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Solution

The fourth proportional to 1,043.41, 1,563.81 and 426.78 is: 639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.41 : 1,563.81 = 426.78 : x
  2. Step 2: Convert to fraction form
    1,043.41/1,563.81 = 426.78/x
  3. Step 3: Cross multiply
    1,043.41x = 1,563.81 × 426.78
  4. Step 4: Simplify right side
    1,043.41x = 667,402.83
  5. Step 5: Solve for x
    x = 667,402.83/1,043.41
  6. Step 6: Final answer
    x = 639.64

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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.