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Finding the Fourth Proportional to 879.48, 1,213.70 and 486.56

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Solution

The fourth proportional to 879.48, 1,213.70 and 486.56 is: 671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.48 : 1,213.70 = 486.56 : x
  2. Step 2: Convert to fraction form
    879.48/1,213.70 = 486.56/x
  3. Step 3: Cross multiply
    879.48x = 1,213.70 × 486.56
  4. Step 4: Simplify right side
    879.48x = 590,537.87
  5. Step 5: Solve for x
    x = 590,537.87/879.48
  6. Step 6: Final answer
    x = 671.46

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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.