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Finding the Fourth Proportional to 1,102.17, 1,519.29 and 681.75

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Solution

The fourth proportional to 1,102.17, 1,519.29 and 681.75 is: 939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.17 : 1,519.29 = 681.75 : x
  2. Step 2: Convert to fraction form
    1,102.17/1,519.29 = 681.75/x
  3. Step 3: Cross multiply
    1,102.17x = 1,519.29 × 681.75
  4. Step 4: Simplify right side
    1,102.17x = 1,035,775.96
  5. Step 5: Solve for x
    x = 1,035,775.96/1,102.17
  6. Step 6: Final answer
    x = 939.76

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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.