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Finding the Fourth Proportional to 879.13, 1,213.09 and 486.10

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Solution

The fourth proportional to 879.13, 1,213.09 and 486.10 is: 670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.13 : 1,213.09 = 486.10 : x
  2. Step 2: Convert to fraction form
    879.13/1,213.09 = 486.10/x
  3. Step 3: Cross multiply
    879.13x = 1,213.09 × 486.10
  4. Step 4: Simplify right side
    879.13x = 589,675.77
  5. Step 5: Solve for x
    x = 589,675.77/879.13
  6. Step 6: Final answer
    x = 670.75

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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.