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Finding the Fourth Proportional to 1,328.17, 1,992.66 and 679.36

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Solution

The fourth proportional to 1,328.17, 1,992.66 and 679.36 is: 1,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.17 : 1,992.66 = 679.36 : x
  2. Step 2: Convert to fraction form
    1,328.17/1,992.66 = 679.36/x
  3. Step 3: Cross multiply
    1,328.17x = 1,992.66 × 679.36
  4. Step 4: Simplify right side
    1,328.17x = 1,353,728.52
  5. Step 5: Solve for x
    x = 1,353,728.52/1,328.17
  6. Step 6: Final answer
    x = 1,019.25

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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.