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Finding the Fourth Proportional to 863.23, 1,191.69 and 584.93

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Solution

The fourth proportional to 863.23, 1,191.69 and 584.93 is: 807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.23 : 1,191.69 = 584.93 : x
  2. Step 2: Convert to fraction form
    863.23/1,191.69 = 584.93/x
  3. Step 3: Cross multiply
    863.23x = 1,191.69 × 584.93
  4. Step 4: Simplify right side
    863.23x = 697,055.23
  5. Step 5: Solve for x
    x = 697,055.23/863.23
  6. Step 6: Final answer
    x = 807.50

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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.