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Finding the Fourth Proportional to 1,027.97, 1,418.60 and 562.22

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Solution

The fourth proportional to 1,027.97, 1,418.60 and 562.22 is: 775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.97 : 1,418.60 = 562.22 : x
  2. Step 2: Convert to fraction form
    1,027.97/1,418.60 = 562.22/x
  3. Step 3: Cross multiply
    1,027.97x = 1,418.60 × 562.22
  4. Step 4: Simplify right side
    1,027.97x = 797,566.03
  5. Step 5: Solve for x
    x = 797,566.03/1,027.97
  6. Step 6: Final answer
    x = 775.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.