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Finding the Fourth Proportional to 1,027.98, 1,542.84 and 540.44

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Solution

The fourth proportional to 1,027.98, 1,542.84 and 540.44 is: 811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.98 : 1,542.84 = 540.44 : x
  2. Step 2: Convert to fraction form
    1,027.98/1,542.84 = 540.44/x
  3. Step 3: Cross multiply
    1,027.98x = 1,542.84 × 540.44
  4. Step 4: Simplify right side
    1,027.98x = 833,812.45
  5. Step 5: Solve for x
    x = 833,812.45/1,027.98
  6. Step 6: Final answer
    x = 811.12

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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.