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Finding the Fourth Proportional to 879.83, 1,214.01 and 548.36

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Solution

The fourth proportional to 879.83, 1,214.01 and 548.36 is: 756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.83 : 1,214.01 = 548.36 : x
  2. Step 2: Convert to fraction form
    879.83/1,214.01 = 548.36/x
  3. Step 3: Cross multiply
    879.83x = 1,214.01 × 548.36
  4. Step 4: Simplify right side
    879.83x = 665,708.45
  5. Step 5: Solve for x
    x = 665,708.45/879.83
  6. Step 6: Final answer
    x = 756.64

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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.