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Finding the Fourth Proportional to 1,099.60, 1,651.49 and 943.77

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Solution

The fourth proportional to 1,099.60, 1,651.49 and 943.77 is: 1,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.60 : 1,651.49 = 943.77 : x
  2. Step 2: Convert to fraction form
    1,099.60/1,651.49 = 943.77/x
  3. Step 3: Cross multiply
    1,099.60x = 1,651.49 × 943.77
  4. Step 4: Simplify right side
    1,099.60x = 1,558,626.72
  5. Step 5: Solve for x
    x = 1,558,626.72/1,099.60
  6. Step 6: Final answer
    x = 1,417.45

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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.