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Finding the Fourth Proportional to 1,099.84, 1,648.52 and 450.22

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Solution

The fourth proportional to 1,099.84, 1,648.52 and 450.22 is: 674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.84 : 1,648.52 = 450.22 : x
  2. Step 2: Convert to fraction form
    1,099.84/1,648.52 = 450.22/x
  3. Step 3: Cross multiply
    1,099.84x = 1,648.52 × 450.22
  4. Step 4: Simplify right side
    1,099.84x = 742,196.67
  5. Step 5: Solve for x
    x = 742,196.67/1,099.84
  6. Step 6: Final answer
    x = 674.82

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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.