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Finding the Fourth Proportional to 863.94, 1,192.03 and 509.88

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Solution

The fourth proportional to 863.94, 1,192.03 and 509.88 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.94 : 1,192.03 = 509.88 : x
  2. Step 2: Convert to fraction form
    863.94/1,192.03 = 509.88/x
  3. Step 3: Cross multiply
    863.94x = 1,192.03 × 509.88
  4. Step 4: Simplify right side
    863.94x = 607,788.42
  5. Step 5: Solve for x
    x = 607,788.42/863.94
  6. Step 6: Final answer
    x = 703.50

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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.