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Finding the Fourth Proportional to 1,371.45, 1,892.65 and 781.95

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Solution

The fourth proportional to 1,371.45, 1,892.65 and 781.95 is: 1,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.45 : 1,892.65 = 781.95 : x
  2. Step 2: Convert to fraction form
    1,371.45/1,892.65 = 781.95/x
  3. Step 3: Cross multiply
    1,371.45x = 1,892.65 × 781.95
  4. Step 4: Simplify right side
    1,371.45x = 1,479,964.28
  5. Step 5: Solve for x
    x = 1,479,964.28/1,371.45
  6. Step 6: Final answer
    x = 1,079.13

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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.