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Finding the Fourth Proportional to 893.27, 1,233.88 and 657.69

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Solution

The fourth proportional to 893.27, 1,233.88 and 657.69 is: 908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.27 : 1,233.88 = 657.69 : x
  2. Step 2: Convert to fraction form
    893.27/1,233.88 = 657.69/x
  3. Step 3: Cross multiply
    893.27x = 1,233.88 × 657.69
  4. Step 4: Simplify right side
    893.27x = 811,508.89
  5. Step 5: Solve for x
    x = 811,508.89/893.27
  6. Step 6: Final answer
    x = 908.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.