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Finding the Fourth Proportional to 793.28, 1,195.34 and 652.16

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Solution

The fourth proportional to 793.28, 1,195.34 and 652.16 is: 982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.28 : 1,195.34 = 652.16 : x
  2. Step 2: Convert to fraction form
    793.28/1,195.34 = 652.16/x
  3. Step 3: Cross multiply
    793.28x = 1,195.34 × 652.16
  4. Step 4: Simplify right side
    793.28x = 779,552.93
  5. Step 5: Solve for x
    x = 779,552.93/793.28
  6. Step 6: Final answer
    x = 982.70

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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.