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Finding the Fourth Proportional to 614.36, 922.08 and 518.24

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Solution

The fourth proportional to 614.36, 922.08 and 518.24 is: 777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.36 : 922.08 = 518.24 : x
  2. Step 2: Convert to fraction form
    614.36/922.08 = 518.24/x
  3. Step 3: Cross multiply
    614.36x = 922.08 × 518.24
  4. Step 4: Simplify right side
    614.36x = 477,858.74
  5. Step 5: Solve for x
    x = 477,858.74/614.36
  6. Step 6: Final answer
    x = 777.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.