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Finding the Fourth Proportional to 879.91, 1,214.23 and 486.91

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Solution

The fourth proportional to 879.91, 1,214.23 and 486.91 is: 671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.91 : 1,214.23 = 486.91 : x
  2. Step 2: Convert to fraction form
    879.91/1,214.23 = 486.91/x
  3. Step 3: Cross multiply
    879.91x = 1,214.23 × 486.91
  4. Step 4: Simplify right side
    879.91x = 591,220.73
  5. Step 5: Solve for x
    x = 591,220.73/879.91
  6. Step 6: Final answer
    x = 671.91

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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.