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Finding the Fourth Proportional to 879.90, 1,214.24 and 486.91

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Solution

The fourth proportional to 879.90, 1,214.24 and 486.91 is: 671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.90 : 1,214.24 = 486.91 : x
  2. Step 2: Convert to fraction form
    879.90/1,214.24 = 486.91/x
  3. Step 3: Cross multiply
    879.90x = 1,214.24 × 486.91
  4. Step 4: Simplify right side
    879.90x = 591,225.60
  5. Step 5: Solve for x
    x = 591,225.60/879.90
  6. Step 6: Final answer
    x = 671.93

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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.