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Finding the Fourth Proportional to 1,098.45, 1,647.77 and 405.29

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Solution

The fourth proportional to 1,098.45, 1,647.77 and 405.29 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.45 : 1,647.77 = 405.29 : x
  2. Step 2: Convert to fraction form
    1,098.45/1,647.77 = 405.29/x
  3. Step 3: Cross multiply
    1,098.45x = 1,647.77 × 405.29
  4. Step 4: Simplify right side
    1,098.45x = 667,814.44
  5. Step 5: Solve for x
    x = 667,814.44/1,098.45
  6. Step 6: Final answer
    x = 607.96

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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.