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Finding the Fourth Proportional to 1,468.97, 2,027.22 and 830.86

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Solution

The fourth proportional to 1,468.97, 2,027.22 and 830.86 is: 1,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.97 : 2,027.22 = 830.86 : x
  2. Step 2: Convert to fraction form
    1,468.97/2,027.22 = 830.86/x
  3. Step 3: Cross multiply
    1,468.97x = 2,027.22 × 830.86
  4. Step 4: Simplify right side
    1,468.97x = 1,684,335.12
  5. Step 5: Solve for x
    x = 1,684,335.12/1,468.97
  6. Step 6: Final answer
    x = 1,146.61

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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.