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Finding the Fourth Proportional to 985.75, 1,478.64 and 301.75

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Solution

The fourth proportional to 985.75, 1,478.64 and 301.75 is: 452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.75 : 1,478.64 = 301.75 : x
  2. Step 2: Convert to fraction form
    985.75/1,478.64 = 301.75/x
  3. Step 3: Cross multiply
    985.75x = 1,478.64 × 301.75
  4. Step 4: Simplify right side
    985.75x = 446,179.62
  5. Step 5: Solve for x
    x = 446,179.62/985.75
  6. Step 6: Final answer
    x = 452.63

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Double scale
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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.