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Finding the Fourth Proportional to 1,027.77, 1,418.34 and 562.02

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Solution

The fourth proportional to 1,027.77, 1,418.34 and 562.02 is: 775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.77 : 1,418.34 = 562.02 : x
  2. Step 2: Convert to fraction form
    1,027.77/1,418.34 = 562.02/x
  3. Step 3: Cross multiply
    1,027.77x = 1,418.34 × 562.02
  4. Step 4: Simplify right side
    1,027.77x = 797,135.45
  5. Step 5: Solve for x
    x = 797,135.45/1,027.77
  6. Step 6: Final answer
    x = 775.60

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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.