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Finding the Fourth Proportional to 1,099.19, 1,647.77 and 405.69

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Solution

The fourth proportional to 1,099.19, 1,647.77 and 405.69 is: 608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.19 : 1,647.77 = 405.69 : x
  2. Step 2: Convert to fraction form
    1,099.19/1,647.77 = 405.69/x
  3. Step 3: Cross multiply
    1,099.19x = 1,647.77 × 405.69
  4. Step 4: Simplify right side
    1,099.19x = 668,481.78
  5. Step 5: Solve for x
    x = 668,481.78/1,099.19
  6. Step 6: Final answer
    x = 608.16

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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.