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Finding the Fourth Proportional to 629.18, 941.61 and 537.14

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Solution

The fourth proportional to 629.18, 941.61 and 537.14 is: 803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.18 : 941.61 = 537.14 : x
  2. Step 2: Convert to fraction form
    629.18/941.61 = 537.14/x
  3. Step 3: Cross multiply
    629.18x = 941.61 × 537.14
  4. Step 4: Simplify right side
    629.18x = 505,776.40
  5. Step 5: Solve for x
    x = 505,776.40/629.18
  6. Step 6: Final answer
    x = 803.87

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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.