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Finding the Fourth Proportional to 1,099.37, 1,656.79 and 989.82

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Solution

The fourth proportional to 1,099.37, 1,656.79 and 989.82 is: 1,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.37 : 1,656.79 = 989.82 : x
  2. Step 2: Convert to fraction form
    1,099.37/1,656.79 = 989.82/x
  3. Step 3: Cross multiply
    1,099.37x = 1,656.79 × 989.82
  4. Step 4: Simplify right side
    1,099.37x = 1,639,921.40
  5. Step 5: Solve for x
    x = 1,639,921.40/1,099.37
  6. Step 6: Final answer
    x = 1,491.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.