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Finding the Fourth Proportional to 1,099.22, 1,655.20 and 793.16

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Solution

The fourth proportional to 1,099.22, 1,655.20 and 793.16 is: 1,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.22 : 1,655.20 = 793.16 : x
  2. Step 2: Convert to fraction form
    1,099.22/1,655.20 = 793.16/x
  3. Step 3: Cross multiply
    1,099.22x = 1,655.20 × 793.16
  4. Step 4: Simplify right side
    1,099.22x = 1,312,838.43
  5. Step 5: Solve for x
    x = 1,312,838.43/1,099.22
  6. Step 6: Final answer
    x = 1,194.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.