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Finding the Fourth Proportional to 1,099.58, 1,650.53 and 661.90

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Solution

The fourth proportional to 1,099.58, 1,650.53 and 661.90 is: 993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.58 : 1,650.53 = 661.90 : x
  2. Step 2: Convert to fraction form
    1,099.58/1,650.53 = 661.90/x
  3. Step 3: Cross multiply
    1,099.58x = 1,650.53 × 661.90
  4. Step 4: Simplify right side
    1,099.58x = 1,092,478.06
  5. Step 5: Solve for x
    x = 1,092,478.06/1,099.58
  6. Step 6: Final answer
    x = 993.55

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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.