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Finding the Fourth Proportional to 1,091.66, 1,635.87 and 543.08

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Solution

The fourth proportional to 1,091.66, 1,635.87 and 543.08 is: 813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.66 : 1,635.87 = 543.08 : x
  2. Step 2: Convert to fraction form
    1,091.66/1,635.87 = 543.08/x
  3. Step 3: Cross multiply
    1,091.66x = 1,635.87 × 543.08
  4. Step 4: Simplify right side
    1,091.66x = 888,414.41
  5. Step 5: Solve for x
    x = 888,414.41/1,091.66
  6. Step 6: Final answer
    x = 813.82

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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.