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Finding the Fourth Proportional to 1,101.11, 1,519.67 and 709.27

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Solution

The fourth proportional to 1,101.11, 1,519.67 and 709.27 is: 978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.11 : 1,519.67 = 709.27 : x
  2. Step 2: Convert to fraction form
    1,101.11/1,519.67 = 709.27/x
  3. Step 3: Cross multiply
    1,101.11x = 1,519.67 × 709.27
  4. Step 4: Simplify right side
    1,101.11x = 1,077,856.34
  5. Step 5: Solve for x
    x = 1,077,856.34/1,101.11
  6. Step 6: Final answer
    x = 978.88

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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.