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Finding the Fourth Proportional to 1,099.57, 1,650.19 and 406.89

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Solution

The fourth proportional to 1,099.57, 1,650.19 and 406.89 is: 610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.57 : 1,650.19 = 406.89 : x
  2. Step 2: Convert to fraction form
    1,099.57/1,650.19 = 406.89/x
  3. Step 3: Cross multiply
    1,099.57x = 1,650.19 × 406.89
  4. Step 4: Simplify right side
    1,099.57x = 671,445.81
  5. Step 5: Solve for x
    x = 671,445.81/1,099.57
  6. Step 6: Final answer
    x = 610.64

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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.