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Finding the Fourth Proportional to 1,220.86, 1,687.35 and 1,174.78

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Solution

The fourth proportional to 1,220.86, 1,687.35 and 1,174.78 is: 1,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.86 : 1,687.35 = 1,174.78 : x
  2. Step 2: Convert to fraction form
    1,220.86/1,687.35 = 1,174.78/x
  3. Step 3: Cross multiply
    1,220.86x = 1,687.35 × 1,174.78
  4. Step 4: Simplify right side
    1,220.86x = 1,982,265.03
  5. Step 5: Solve for x
    x = 1,982,265.03/1,220.86
  6. Step 6: Final answer
    x = 1,623.66

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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.