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Finding the Fourth Proportional to 863.21, 1,191.08 and 490.14

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Solution

The fourth proportional to 863.21, 1,191.08 and 490.14 is: 676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.21 : 1,191.08 = 490.14 : x
  2. Step 2: Convert to fraction form
    863.21/1,191.08 = 490.14/x
  3. Step 3: Cross multiply
    863.21x = 1,191.08 × 490.14
  4. Step 4: Simplify right side
    863.21x = 583,797.18
  5. Step 5: Solve for x
    x = 583,797.18/863.21
  6. Step 6: Final answer
    x = 676.31

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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.