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Finding the Fourth Proportional to 1,390.44, 2,084.30 and 773.82

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Solution

The fourth proportional to 1,390.44, 2,084.30 and 773.82 is: 1,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.44 : 2,084.30 = 773.82 : x
  2. Step 2: Convert to fraction form
    1,390.44/2,084.30 = 773.82/x
  3. Step 3: Cross multiply
    1,390.44x = 2,084.30 × 773.82
  4. Step 4: Simplify right side
    1,390.44x = 1,612,873.03
  5. Step 5: Solve for x
    x = 1,612,873.03/1,390.44
  6. Step 6: Final answer
    x = 1,159.97

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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.