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Finding the Fourth Proportional to 863.68, 1,191.42 and 583.54

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Solution

The fourth proportional to 863.68, 1,191.42 and 583.54 is: 804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.68 : 1,191.42 = 583.54 : x
  2. Step 2: Convert to fraction form
    863.68/1,191.42 = 583.54/x
  3. Step 3: Cross multiply
    863.68x = 1,191.42 × 583.54
  4. Step 4: Simplify right side
    863.68x = 695,241.23
  5. Step 5: Solve for x
    x = 695,241.23/863.68
  6. Step 6: Final answer
    x = 804.98

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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.