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Finding the Fourth Proportional to 863.90, 1,192.37 and 509.69

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Solution

The fourth proportional to 863.90, 1,192.37 and 509.69 is: 703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.90 : 1,192.37 = 509.69 : x
  2. Step 2: Convert to fraction form
    863.90/1,192.37 = 509.69/x
  3. Step 3: Cross multiply
    863.90x = 1,192.37 × 509.69
  4. Step 4: Simplify right side
    863.90x = 607,742.36
  5. Step 5: Solve for x
    x = 607,742.36/863.90
  6. Step 6: Final answer
    x = 703.48

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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.