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Finding the Fourth Proportional to 927.99, 1,391.77 and 269.70

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Solution

The fourth proportional to 927.99, 1,391.77 and 269.70 is: 404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.99 : 1,391.77 = 269.70 : x
  2. Step 2: Convert to fraction form
    927.99/1,391.77 = 269.70/x
  3. Step 3: Cross multiply
    927.99x = 1,391.77 × 269.70
  4. Step 4: Simplify right side
    927.99x = 375,355.49
  5. Step 5: Solve for x
    x = 375,355.49/927.99
  6. Step 6: Final answer
    x = 404.48

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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.