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Finding the Fourth Proportional to 1,232.26, 1,846.91 and 711.18

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Solution

The fourth proportional to 1,232.26, 1,846.91 and 711.18 is: 1,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.26 : 1,846.91 = 711.18 : x
  2. Step 2: Convert to fraction form
    1,232.26/1,846.91 = 711.18/x
  3. Step 3: Cross multiply
    1,232.26x = 1,846.91 × 711.18
  4. Step 4: Simplify right side
    1,232.26x = 1,313,487.23
  5. Step 5: Solve for x
    x = 1,313,487.23/1,232.26
  6. Step 6: Final answer
    x = 1,065.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.