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Finding the Fourth Proportional to 863.83, 1,192.05 and 509.74

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Solution

The fourth proportional to 863.83, 1,192.05 and 509.74 is: 703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.83 : 1,192.05 = 509.74 : x
  2. Step 2: Convert to fraction form
    863.83/1,192.05 = 509.74/x
  3. Step 3: Cross multiply
    863.83x = 1,192.05 × 509.74
  4. Step 4: Simplify right side
    863.83x = 607,635.57
  5. Step 5: Solve for x
    x = 607,635.57/863.83
  6. Step 6: Final answer
    x = 703.42

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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.