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Finding the Fourth Proportional to 1,240.44, 1,711.31 and 709.24

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Solution

The fourth proportional to 1,240.44, 1,711.31 and 709.24 is: 978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.44 : 1,711.31 = 709.24 : x
  2. Step 2: Convert to fraction form
    1,240.44/1,711.31 = 709.24/x
  3. Step 3: Cross multiply
    1,240.44x = 1,711.31 × 709.24
  4. Step 4: Simplify right side
    1,240.44x = 1,213,729.50
  5. Step 5: Solve for x
    x = 1,213,729.50/1,240.44
  6. Step 6: Final answer
    x = 978.47

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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.