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Finding the Fourth Proportional to 813.68, 1,122.72 and 518.72

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Solution

The fourth proportional to 813.68, 1,122.72 and 518.72 is: 715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.68 : 1,122.72 = 518.72 : x
  2. Step 2: Convert to fraction form
    813.68/1,122.72 = 518.72/x
  3. Step 3: Cross multiply
    813.68x = 1,122.72 × 518.72
  4. Step 4: Simplify right side
    813.68x = 582,377.32
  5. Step 5: Solve for x
    x = 582,377.32/813.68
  6. Step 6: Final answer
    x = 715.73

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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.