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Finding the Fourth Proportional to 995.75, 1,493.62 and 411.08

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Solution

The fourth proportional to 995.75, 1,493.62 and 411.08 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.75 : 1,493.62 = 411.08 : x
  2. Step 2: Convert to fraction form
    995.75/1,493.62 = 411.08/x
  3. Step 3: Cross multiply
    995.75x = 1,493.62 × 411.08
  4. Step 4: Simplify right side
    995.75x = 613,999.53
  5. Step 5: Solve for x
    x = 613,999.53/995.75
  6. Step 6: Final answer
    x = 616.62

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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.