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Finding the Fourth Proportional to 863.69, 1,191.93 and 490.73

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Solution

The fourth proportional to 863.69, 1,191.93 and 490.73 is: 677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.69 : 1,191.93 = 490.73 : x
  2. Step 2: Convert to fraction form
    863.69/1,191.93 = 490.73/x
  3. Step 3: Cross multiply
    863.69x = 1,191.93 × 490.73
  4. Step 4: Simplify right side
    863.69x = 584,915.81
  5. Step 5: Solve for x
    x = 584,915.81/863.69
  6. Step 6: Final answer
    x = 677.23

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.