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Finding the Fourth Proportional to 863.56, 1,192.01 and 509.47

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Solution

The fourth proportional to 863.56, 1,192.01 and 509.47 is: 703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.56 : 1,192.01 = 509.47 : x
  2. Step 2: Convert to fraction form
    863.56/1,192.01 = 509.47/x
  3. Step 3: Cross multiply
    863.56x = 1,192.01 × 509.47
  4. Step 4: Simplify right side
    863.56x = 607,293.33
  5. Step 5: Solve for x
    x = 607,293.33/863.56
  6. Step 6: Final answer
    x = 703.24

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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.