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Finding the Fourth Proportional to 1,088.82, 1,633.79 and 540.99

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Solution

The fourth proportional to 1,088.82, 1,633.79 and 540.99 is: 811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.82 : 1,633.79 = 540.99 : x
  2. Step 2: Convert to fraction form
    1,088.82/1,633.79 = 540.99/x
  3. Step 3: Cross multiply
    1,088.82x = 1,633.79 × 540.99
  4. Step 4: Simplify right side
    1,088.82x = 883,853.18
  5. Step 5: Solve for x
    x = 883,853.18/1,088.82
  6. Step 6: Final answer
    x = 811.76

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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.