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Finding the Fourth Proportional to 813.40, 1,122.19 and 518.61

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Solution

The fourth proportional to 813.40, 1,122.19 and 518.61 is: 715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.40 : 1,122.19 = 518.61 : x
  2. Step 2: Convert to fraction form
    813.40/1,122.19 = 518.61/x
  3. Step 3: Cross multiply
    813.40x = 1,122.19 × 518.61
  4. Step 4: Simplify right side
    813.40x = 581,978.96
  5. Step 5: Solve for x
    x = 581,978.96/813.40
  6. Step 6: Final answer
    x = 715.49

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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.