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Finding the Fourth Proportional to 1,035.73, 1,553.55 and 266.23

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Solution

The fourth proportional to 1,035.73, 1,553.55 and 266.23 is: 399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.73 : 1,553.55 = 266.23 : x
  2. Step 2: Convert to fraction form
    1,035.73/1,553.55 = 266.23/x
  3. Step 3: Cross multiply
    1,035.73x = 1,553.55 × 266.23
  4. Step 4: Simplify right side
    1,035.73x = 413,601.62
  5. Step 5: Solve for x
    x = 413,601.62/1,035.73
  6. Step 6: Final answer
    x = 399.33

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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.