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Finding the Fourth Proportional to 1,177.73, 1,767.20 and 629.86

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Solution

The fourth proportional to 1,177.73, 1,767.20 and 629.86 is: 945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.73 : 1,767.20 = 629.86 : x
  2. Step 2: Convert to fraction form
    1,177.73/1,767.20 = 629.86/x
  3. Step 3: Cross multiply
    1,177.73x = 1,767.20 × 629.86
  4. Step 4: Simplify right side
    1,177.73x = 1,113,088.59
  5. Step 5: Solve for x
    x = 1,113,088.59/1,177.73
  6. Step 6: Final answer
    x = 945.11

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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.