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Finding the Fourth Proportional to 1,098.44, 1,647.81 and 405.02

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Solution

The fourth proportional to 1,098.44, 1,647.81 and 405.02 is: 607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.44 : 1,647.81 = 405.02 : x
  2. Step 2: Convert to fraction form
    1,098.44/1,647.81 = 405.02/x
  3. Step 3: Cross multiply
    1,098.44x = 1,647.81 × 405.02
  4. Step 4: Simplify right side
    1,098.44x = 667,396.01
  5. Step 5: Solve for x
    x = 667,396.01/1,098.44
  6. Step 6: Final answer
    x = 607.59

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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.