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Finding the Fourth Proportional to 793.70, 1,192.37 and 563.16

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Solution

The fourth proportional to 793.70, 1,192.37 and 563.16 is: 846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.70 : 1,192.37 = 563.16 : x
  2. Step 2: Convert to fraction form
    793.70/1,192.37 = 563.16/x
  3. Step 3: Cross multiply
    793.70x = 1,192.37 × 563.16
  4. Step 4: Simplify right side
    793.70x = 671,489.13
  5. Step 5: Solve for x
    x = 671,489.13/793.70
  6. Step 6: Final answer
    x = 846.03

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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.