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Finding the Fourth Proportional to 853.97, 1,178.54 and 480.92

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Solution

The fourth proportional to 853.97, 1,178.54 and 480.92 is: 663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.97 : 1,178.54 = 480.92 : x
  2. Step 2: Convert to fraction form
    853.97/1,178.54 = 480.92/x
  3. Step 3: Cross multiply
    853.97x = 1,178.54 × 480.92
  4. Step 4: Simplify right side
    853.97x = 566,777.83
  5. Step 5: Solve for x
    x = 566,777.83/853.97
  6. Step 6: Final answer
    x = 663.70

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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.