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Finding the Fourth Proportional to 1,462.41, 2,194.02 and 488.61

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Solution

The fourth proportional to 1,462.41, 2,194.02 and 488.61 is: 733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.41 : 2,194.02 = 488.61 : x
  2. Step 2: Convert to fraction form
    1,462.41/2,194.02 = 488.61/x
  3. Step 3: Cross multiply
    1,462.41x = 2,194.02 × 488.61
  4. Step 4: Simplify right side
    1,462.41x = 1,072,020.11
  5. Step 5: Solve for x
    x = 1,072,020.11/1,462.41
  6. Step 6: Final answer
    x = 733.05

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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.