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Finding the Fourth Proportional to 1,233.92, 1,850.61 and 712.82

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Solution

The fourth proportional to 1,233.92, 1,850.61 and 712.82 is: 1,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.92 : 1,850.61 = 712.82 : x
  2. Step 2: Convert to fraction form
    1,233.92/1,850.61 = 712.82/x
  3. Step 3: Cross multiply
    1,233.92x = 1,850.61 × 712.82
  4. Step 4: Simplify right side
    1,233.92x = 1,319,151.82
  5. Step 5: Solve for x
    x = 1,319,151.82/1,233.92
  6. Step 6: Final answer
    x = 1,069.07

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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.