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Finding the Fourth Proportional to 1,088.11, 1,632.14 and 266.38

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Solution

The fourth proportional to 1,088.11, 1,632.14 and 266.38 is: 399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.11 : 1,632.14 = 266.38 : x
  2. Step 2: Convert to fraction form
    1,088.11/1,632.14 = 266.38/x
  3. Step 3: Cross multiply
    1,088.11x = 1,632.14 × 266.38
  4. Step 4: Simplify right side
    1,088.11x = 434,769.45
  5. Step 5: Solve for x
    x = 434,769.45/1,088.11
  6. Step 6: Final answer
    x = 399.56

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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.