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Finding the Fourth Proportional to 865.76, 1,194.64 and 506.88

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Solution

The fourth proportional to 865.76, 1,194.64 and 506.88 is: 699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.76 : 1,194.64 = 506.88 : x
  2. Step 2: Convert to fraction form
    865.76/1,194.64 = 506.88/x
  3. Step 3: Cross multiply
    865.76x = 1,194.64 × 506.88
  4. Step 4: Simplify right side
    865.76x = 605,539.12
  5. Step 5: Solve for x
    x = 605,539.12/865.76
  6. Step 6: Final answer
    x = 699.43

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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.