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Finding the Fourth Proportional to 1,340.89, 1,850.51 and 781.40

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Solution

The fourth proportional to 1,340.89, 1,850.51 and 781.40 is: 1,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.89 : 1,850.51 = 781.40 : x
  2. Step 2: Convert to fraction form
    1,340.89/1,850.51 = 781.40/x
  3. Step 3: Cross multiply
    1,340.89x = 1,850.51 × 781.40
  4. Step 4: Simplify right side
    1,340.89x = 1,445,995.09
  5. Step 5: Solve for x
    x = 1,445,995.09/1,340.89
  6. Step 6: Final answer
    x = 1,078.39

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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.