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Finding the Fourth Proportional to 793.98, 1,096.49 and 654.57

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Solution

The fourth proportional to 793.98, 1,096.49 and 654.57 is: 903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.98 : 1,096.49 = 654.57 : x
  2. Step 2: Convert to fraction form
    793.98/1,096.49 = 654.57/x
  3. Step 3: Cross multiply
    793.98x = 1,096.49 × 654.57
  4. Step 4: Simplify right side
    793.98x = 717,726.19
  5. Step 5: Solve for x
    x = 717,726.19/793.98
  6. Step 6: Final answer
    x = 903.96

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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.