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Finding the Fourth Proportional to 893.70, 1,233.72 and 672.73

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Solution

The fourth proportional to 893.70, 1,233.72 and 672.73 is: 928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.70 : 1,233.72 = 672.73 : x
  2. Step 2: Convert to fraction form
    893.70/1,233.72 = 672.73/x
  3. Step 3: Cross multiply
    893.70x = 1,233.72 × 672.73
  4. Step 4: Simplify right side
    893.70x = 829,960.46
  5. Step 5: Solve for x
    x = 829,960.46/893.70
  6. Step 6: Final answer
    x = 928.68

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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.