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Finding the Fourth Proportional to 681.89, 1,022.87 and 194.99

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Solution

The fourth proportional to 681.89, 1,022.87 and 194.99 is: 292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.89 : 1,022.87 = 194.99 : x
  2. Step 2: Convert to fraction form
    681.89/1,022.87 = 194.99/x
  3. Step 3: Cross multiply
    681.89x = 1,022.87 × 194.99
  4. Step 4: Simplify right side
    681.89x = 199,444.79
  5. Step 5: Solve for x
    x = 199,444.79/681.89
  6. Step 6: Final answer
    x = 292.49

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Double scale
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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.