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Finding the Fourth Proportional to 1,334.10, 2,001.78 and 840.42

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Solution

The fourth proportional to 1,334.10, 2,001.78 and 840.42 is: 1,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.10 : 2,001.78 = 840.42 : x
  2. Step 2: Convert to fraction form
    1,334.10/2,001.78 = 840.42/x
  3. Step 3: Cross multiply
    1,334.10x = 2,001.78 × 840.42
  4. Step 4: Simplify right side
    1,334.10x = 1,682,335.95
  5. Step 5: Solve for x
    x = 1,682,335.95/1,334.10
  6. Step 6: Final answer
    x = 1,261.03

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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.