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Finding the Fourth Proportional to 793.13, 1,094.12 and 513.60

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Solution

The fourth proportional to 793.13, 1,094.12 and 513.60 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.13 : 1,094.12 = 513.60 : x
  2. Step 2: Convert to fraction form
    793.13/1,094.12 = 513.60/x
  3. Step 3: Cross multiply
    793.13x = 1,094.12 × 513.60
  4. Step 4: Simplify right side
    793.13x = 561,937.46
  5. Step 5: Solve for x
    x = 561,937.46/793.13
  6. Step 6: Final answer
    x = 708.51

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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.