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Finding the Fourth Proportional to 1,173.66, 1,760.51 and 679.78

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Solution

The fourth proportional to 1,173.66, 1,760.51 and 679.78 is: 1,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.66 : 1,760.51 = 679.78 : x
  2. Step 2: Convert to fraction form
    1,173.66/1,760.51 = 679.78/x
  3. Step 3: Cross multiply
    1,173.66x = 1,760.51 × 679.78
  4. Step 4: Simplify right side
    1,173.66x = 1,196,759.49
  5. Step 5: Solve for x
    x = 1,196,759.49/1,173.66
  6. Step 6: Final answer
    x = 1,019.68

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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.