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Finding the Fourth Proportional to 1,091.78, 1,637.66 and 658.83

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Solution

The fourth proportional to 1,091.78, 1,637.66 and 658.83 is: 988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.78 : 1,637.66 = 658.83 : x
  2. Step 2: Convert to fraction form
    1,091.78/1,637.66 = 658.83/x
  3. Step 3: Cross multiply
    1,091.78x = 1,637.66 × 658.83
  4. Step 4: Simplify right side
    1,091.78x = 1,078,939.54
  5. Step 5: Solve for x
    x = 1,078,939.54/1,091.78
  6. Step 6: Final answer
    x = 988.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.