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Finding the Fourth Proportional to 1,401.98, 1,934.87 and 781.02

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Solution

The fourth proportional to 1,401.98, 1,934.87 and 781.02 is: 1,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.98 : 1,934.87 = 781.02 : x
  2. Step 2: Convert to fraction form
    1,401.98/1,934.87 = 781.02/x
  3. Step 3: Cross multiply
    1,401.98x = 1,934.87 × 781.02
  4. Step 4: Simplify right side
    1,401.98x = 1,511,172.17
  5. Step 5: Solve for x
    x = 1,511,172.17/1,401.98
  6. Step 6: Final answer
    x = 1,077.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.