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Finding the Fourth Proportional to 863.77, 1,191.58 and 514.21

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Solution

The fourth proportional to 863.77, 1,191.58 and 514.21 is: 709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.77 : 1,191.58 = 514.21 : x
  2. Step 2: Convert to fraction form
    863.77/1,191.58 = 514.21/x
  3. Step 3: Cross multiply
    863.77x = 1,191.58 × 514.21
  4. Step 4: Simplify right side
    863.77x = 612,722.35
  5. Step 5: Solve for x
    x = 612,722.35/863.77
  6. Step 6: Final answer
    x = 709.36

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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.