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Finding the Fourth Proportional to 1,232.49, 1,845.36 and 1,000.83

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Solution

The fourth proportional to 1,232.49, 1,845.36 and 1,000.83 is: 1,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.49 : 1,845.36 = 1,000.83 : x
  2. Step 2: Convert to fraction form
    1,232.49/1,845.36 = 1,000.83/x
  3. Step 3: Cross multiply
    1,232.49x = 1,845.36 × 1,000.83
  4. Step 4: Simplify right side
    1,232.49x = 1,846,891.65
  5. Step 5: Solve for x
    x = 1,846,891.65/1,232.49
  6. Step 6: Final answer
    x = 1,498.50

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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.