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Finding the Fourth Proportional to 1,098.16, 1,647.91 and 448.88

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Solution

The fourth proportional to 1,098.16, 1,647.91 and 448.88 is: 673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.16 : 1,647.91 = 448.88 : x
  2. Step 2: Convert to fraction form
    1,098.16/1,647.91 = 448.88/x
  3. Step 3: Cross multiply
    1,098.16x = 1,647.91 × 448.88
  4. Step 4: Simplify right side
    1,098.16x = 739,706.16
  5. Step 5: Solve for x
    x = 739,706.16/1,098.16
  6. Step 6: Final answer
    x = 673.59

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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.