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Finding the Fourth Proportional to 1,098.84, 1,647.02 and 449.22

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Solution

The fourth proportional to 1,098.84, 1,647.02 and 449.22 is: 673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.84 : 1,647.02 = 449.22 : x
  2. Step 2: Convert to fraction form
    1,098.84/1,647.02 = 449.22/x
  3. Step 3: Cross multiply
    1,098.84x = 1,647.02 × 449.22
  4. Step 4: Simplify right side
    1,098.84x = 739,874.32
  5. Step 5: Solve for x
    x = 739,874.32/1,098.84
  6. Step 6: Final answer
    x = 673.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.