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Finding the Fourth Proportional to 985.86, 1,478.87 and 255.45

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Solution

The fourth proportional to 985.86, 1,478.87 and 255.45 is: 383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.86 : 1,478.87 = 255.45 : x
  2. Step 2: Convert to fraction form
    985.86/1,478.87 = 255.45/x
  3. Step 3: Cross multiply
    985.86x = 1,478.87 × 255.45
  4. Step 4: Simplify right side
    985.86x = 377,777.98
  5. Step 5: Solve for x
    x = 377,777.98/985.86
  6. Step 6: Final answer
    x = 383.20

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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.