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Finding the Fourth Proportional to 853.92, 1,178.37 and 480.99

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Solution

The fourth proportional to 853.92, 1,178.37 and 480.99 is: 663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.92 : 1,178.37 = 480.99 : x
  2. Step 2: Convert to fraction form
    853.92/1,178.37 = 480.99/x
  3. Step 3: Cross multiply
    853.92x = 1,178.37 × 480.99
  4. Step 4: Simplify right side
    853.92x = 566,784.19
  5. Step 5: Solve for x
    x = 566,784.19/853.92
  6. Step 6: Final answer
    x = 663.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.