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Finding the Fourth Proportional to 1,042.59, 1,563.81 and 262.59

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Solution

The fourth proportional to 1,042.59, 1,563.81 and 262.59 is: 393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.59 : 1,563.81 = 262.59 : x
  2. Step 2: Convert to fraction form
    1,042.59/1,563.81 = 262.59/x
  3. Step 3: Cross multiply
    1,042.59x = 1,563.81 × 262.59
  4. Step 4: Simplify right side
    1,042.59x = 410,640.87
  5. Step 5: Solve for x
    x = 410,640.87/1,042.59
  6. Step 6: Final answer
    x = 393.87

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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.