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Finding the Fourth Proportional to 1,115.23, 1,539.66 and 992.20

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Solution

The fourth proportional to 1,115.23, 1,539.66 and 992.20 is: 1,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.23 : 1,539.66 = 992.20 : x
  2. Step 2: Convert to fraction form
    1,115.23/1,539.66 = 992.20/x
  3. Step 3: Cross multiply
    1,115.23x = 1,539.66 × 992.20
  4. Step 4: Simplify right side
    1,115.23x = 1,527,650.65
  5. Step 5: Solve for x
    x = 1,527,650.65/1,115.23
  6. Step 6: Final answer
    x = 1,369.81

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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.