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Finding the Fourth Proportional to 992.77, 1,489.16 and 408.09

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Solution

The fourth proportional to 992.77, 1,489.16 and 408.09 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.77 : 1,489.16 = 408.09 : x
  2. Step 2: Convert to fraction form
    992.77/1,489.16 = 408.09/x
  3. Step 3: Cross multiply
    992.77x = 1,489.16 × 408.09
  4. Step 4: Simplify right side
    992.77x = 607,711.30
  5. Step 5: Solve for x
    x = 607,711.30/992.77
  6. Step 6: Final answer
    x = 612.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.