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Finding the Fourth Proportional to 793.97, 1,093.20 and 653.64

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Solution

The fourth proportional to 793.97, 1,093.20 and 653.64 is: 899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.97 : 1,093.20 = 653.64 : x
  2. Step 2: Convert to fraction form
    793.97/1,093.20 = 653.64/x
  3. Step 3: Cross multiply
    793.97x = 1,093.20 × 653.64
  4. Step 4: Simplify right side
    793.97x = 714,559.25
  5. Step 5: Solve for x
    x = 714,559.25/793.97
  6. Step 6: Final answer
    x = 899.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.