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Finding the Fourth Proportional to 985.27, 1,478.77 and 523.39

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Solution

The fourth proportional to 985.27, 1,478.77 and 523.39 is: 785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.27 : 1,478.77 = 523.39 : x
  2. Step 2: Convert to fraction form
    985.27/1,478.77 = 523.39/x
  3. Step 3: Cross multiply
    985.27x = 1,478.77 × 523.39
  4. Step 4: Simplify right side
    985.27x = 773,973.43
  5. Step 5: Solve for x
    x = 773,973.43/985.27
  6. Step 6: Final answer
    x = 785.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.