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Finding the Fourth Proportional to 985.98, 1,478.97 and 255.48

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Solution

The fourth proportional to 985.98, 1,478.97 and 255.48 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.98 : 1,478.97 = 255.48 : x
  2. Step 2: Convert to fraction form
    985.98/1,478.97 = 255.48/x
  3. Step 3: Cross multiply
    985.98x = 1,478.97 × 255.48
  4. Step 4: Simplify right side
    985.98x = 377,847.26
  5. Step 5: Solve for x
    x = 377,847.26/985.98
  6. Step 6: Final answer
    x = 383.22

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Similar ratio
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1.5x scale

Why These Related Problems?

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