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Finding the Fourth Proportional to 879.51, 1,213.74 and 486.54

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Solution

The fourth proportional to 879.51, 1,213.74 and 486.54 is: 671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.51 : 1,213.74 = 486.54 : x
  2. Step 2: Convert to fraction form
    879.51/1,213.74 = 486.54/x
  3. Step 3: Cross multiply
    879.51x = 1,213.74 × 486.54
  4. Step 4: Simplify right side
    879.51x = 590,533.06
  5. Step 5: Solve for x
    x = 590,533.06/879.51
  6. Step 6: Final answer
    x = 671.43

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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.