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Finding the Fourth Proportional to 813.04, 1,122.15 and 518.65

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Solution

The fourth proportional to 813.04, 1,122.15 and 518.65 is: 715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.04 : 1,122.15 = 518.65 : x
  2. Step 2: Convert to fraction form
    813.04/1,122.15 = 518.65/x
  3. Step 3: Cross multiply
    813.04x = 1,122.15 × 518.65
  4. Step 4: Simplify right side
    813.04x = 582,003.10
  5. Step 5: Solve for x
    x = 582,003.10/813.04
  6. Step 6: Final answer
    x = 715.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.