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Finding the Fourth Proportional to 867.08, 1,196.94 and 518.12

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Solution

The fourth proportional to 867.08, 1,196.94 and 518.12 is: 715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.08 : 1,196.94 = 518.12 : x
  2. Step 2: Convert to fraction form
    867.08/1,196.94 = 518.12/x
  3. Step 3: Cross multiply
    867.08x = 1,196.94 × 518.12
  4. Step 4: Simplify right side
    867.08x = 620,158.55
  5. Step 5: Solve for x
    x = 620,158.55/867.08
  6. Step 6: Final answer
    x = 715.23

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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.