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Finding the Fourth Proportional to 1,027.82, 1,418.36 and 562.07

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Solution

The fourth proportional to 1,027.82, 1,418.36 and 562.07 is: 775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.82 : 1,418.36 = 562.07 : x
  2. Step 2: Convert to fraction form
    1,027.82/1,418.36 = 562.07/x
  3. Step 3: Cross multiply
    1,027.82x = 1,418.36 × 562.07
  4. Step 4: Simplify right side
    1,027.82x = 797,207.70
  5. Step 5: Solve for x
    x = 797,207.70/1,027.82
  6. Step 6: Final answer
    x = 775.63

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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.