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Finding the Fourth Proportional to 1,099.37, 1,648.71 and 579.09

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Solution

The fourth proportional to 1,099.37, 1,648.71 and 579.09 is: 868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.37 : 1,648.71 = 579.09 : x
  2. Step 2: Convert to fraction form
    1,099.37/1,648.71 = 579.09/x
  3. Step 3: Cross multiply
    1,099.37x = 1,648.71 × 579.09
  4. Step 4: Simplify right side
    1,099.37x = 954,751.47
  5. Step 5: Solve for x
    x = 954,751.47/1,099.37
  6. Step 6: Final answer
    x = 868.45

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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.