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Finding the Fourth Proportional to 879.39, 1,214.06 and 656.55

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Solution

The fourth proportional to 879.39, 1,214.06 and 656.55 is: 906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.39 : 1,214.06 = 656.55 : x
  2. Step 2: Convert to fraction form
    879.39/1,214.06 = 656.55/x
  3. Step 3: Cross multiply
    879.39x = 1,214.06 × 656.55
  4. Step 4: Simplify right side
    879.39x = 797,085.02
  5. Step 5: Solve for x
    x = 797,085.02/879.39
  6. Step 6: Final answer
    x = 906.41

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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.