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Finding the Fourth Proportional to 863.83, 1,191.75 and 514.45

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Solution

The fourth proportional to 863.83, 1,191.75 and 514.45 is: 709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.83 : 1,191.75 = 514.45 : x
  2. Step 2: Convert to fraction form
    863.83/1,191.75 = 514.45/x
  3. Step 3: Cross multiply
    863.83x = 1,191.75 × 514.45
  4. Step 4: Simplify right side
    863.83x = 613,095.79
  5. Step 5: Solve for x
    x = 613,095.79/863.83
  6. Step 6: Final answer
    x = 709.74

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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.