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Finding the Fourth Proportional to 813.93, 1,122.81 and 518.90

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Solution

The fourth proportional to 813.93, 1,122.81 and 518.90 is: 715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.93 : 1,122.81 = 518.90 : x
  2. Step 2: Convert to fraction form
    813.93/1,122.81 = 518.90/x
  3. Step 3: Cross multiply
    813.93x = 1,122.81 × 518.90
  4. Step 4: Simplify right side
    813.93x = 582,620.49
  5. Step 5: Solve for x
    x = 582,620.49/813.93
  6. Step 6: Final answer
    x = 715.81

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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.