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Finding the Fourth Proportional to 851.92, 1,175.60 and 478.88

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Solution

The fourth proportional to 851.92, 1,175.60 and 478.88 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.92 : 1,175.60 = 478.88 : x
  2. Step 2: Convert to fraction form
    851.92/1,175.60 = 478.88/x
  3. Step 3: Cross multiply
    851.92x = 1,175.60 × 478.88
  4. Step 4: Simplify right side
    851.92x = 562,971.33
  5. Step 5: Solve for x
    x = 562,971.33/851.92
  6. Step 6: Final answer
    x = 660.83

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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.