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Finding the Fourth Proportional to 863.23, 1,191.32 and 654.04

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Solution

The fourth proportional to 863.23, 1,191.32 and 654.04 is: 902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.23 : 1,191.32 = 654.04 : x
  2. Step 2: Convert to fraction form
    863.23/1,191.32 = 654.04/x
  3. Step 3: Cross multiply
    863.23x = 1,191.32 × 654.04
  4. Step 4: Simplify right side
    863.23x = 779,170.93
  5. Step 5: Solve for x
    x = 779,170.93/863.23
  6. Step 6: Final answer
    x = 902.62

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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.