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Finding the Fourth Proportional to 863.99, 1,192.46 and 509.88

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Solution

The fourth proportional to 863.99, 1,192.46 and 509.88 is: 703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.99 : 1,192.46 = 509.88 : x
  2. Step 2: Convert to fraction form
    863.99/1,192.46 = 509.88/x
  3. Step 3: Cross multiply
    863.99x = 1,192.46 × 509.88
  4. Step 4: Simplify right side
    863.99x = 608,008.96
  5. Step 5: Solve for x
    x = 608,008.96/863.99
  6. Step 6: Final answer
    x = 703.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.