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Finding the Fourth Proportional to 1,099.34, 1,647.53 and 405.36

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Solution

The fourth proportional to 1,099.34, 1,647.53 and 405.36 is: 607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.34 : 1,647.53 = 405.36 : x
  2. Step 2: Convert to fraction form
    1,099.34/1,647.53 = 405.36/x
  3. Step 3: Cross multiply
    1,099.34x = 1,647.53 × 405.36
  4. Step 4: Simplify right side
    1,099.34x = 667,842.25
  5. Step 5: Solve for x
    x = 667,842.25/1,099.34
  6. Step 6: Final answer
    x = 607.49

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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.