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Finding the Fourth Proportional to 1,177.68, 1,764.72 and 629.94

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Solution

The fourth proportional to 1,177.68, 1,764.72 and 629.94 is: 943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.68 : 1,764.72 = 629.94 : x
  2. Step 2: Convert to fraction form
    1,177.68/1,764.72 = 629.94/x
  3. Step 3: Cross multiply
    1,177.68x = 1,764.72 × 629.94
  4. Step 4: Simplify right side
    1,177.68x = 1,111,667.72
  5. Step 5: Solve for x
    x = 1,111,667.72/1,177.68
  6. Step 6: Final answer
    x = 943.95

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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.