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Finding the Fourth Proportional to 1,027.71, 1,542.01 and 540.65

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Solution

The fourth proportional to 1,027.71, 1,542.01 and 540.65 is: 811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.71 : 1,542.01 = 540.65 : x
  2. Step 2: Convert to fraction form
    1,027.71/1,542.01 = 540.65/x
  3. Step 3: Cross multiply
    1,027.71x = 1,542.01 × 540.65
  4. Step 4: Simplify right side
    1,027.71x = 833,687.71
  5. Step 5: Solve for x
    x = 833,687.71/1,027.71
  6. Step 6: Final answer
    x = 811.21

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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.