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Finding the Fourth Proportional to 992.24, 1,487.96 and 407.33

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Solution

The fourth proportional to 992.24, 1,487.96 and 407.33 is: 610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.24 : 1,487.96 = 407.33 : x
  2. Step 2: Convert to fraction form
    992.24/1,487.96 = 407.33/x
  3. Step 3: Cross multiply
    992.24x = 1,487.96 × 407.33
  4. Step 4: Simplify right side
    992.24x = 606,087.80
  5. Step 5: Solve for x
    x = 606,087.80/992.24
  6. Step 6: Final answer
    x = 610.83

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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.