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Finding the Fourth Proportional to 863.58, 1,191.08 and 583.38

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Solution

The fourth proportional to 863.58, 1,191.08 and 583.38 is: 804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.58 : 1,191.08 = 583.38 : x
  2. Step 2: Convert to fraction form
    863.58/1,191.08 = 583.38/x
  3. Step 3: Cross multiply
    863.58x = 1,191.08 × 583.38
  4. Step 4: Simplify right side
    863.58x = 694,852.25
  5. Step 5: Solve for x
    x = 694,852.25/863.58
  6. Step 6: Final answer
    x = 804.62

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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.