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Finding the Fourth Proportional to 1,099.79, 1,647.85 and 774.48

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Solution

The fourth proportional to 1,099.79, 1,647.85 and 774.48 is: 1,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.79 : 1,647.85 = 774.48 : x
  2. Step 2: Convert to fraction form
    1,099.79/1,647.85 = 774.48/x
  3. Step 3: Cross multiply
    1,099.79x = 1,647.85 × 774.48
  4. Step 4: Simplify right side
    1,099.79x = 1,276,226.87
  5. Step 5: Solve for x
    x = 1,276,226.87/1,099.79
  6. Step 6: Final answer
    x = 1,160.43

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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.