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Finding the Fourth Proportional to 992, 1,487.71 and 298.60

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Solution

The fourth proportional to 992, 1,487.71 and 298.60 is: 447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    992 : 1,487.71 = 298.60 : x
  2. Step 2: Convert to fraction form
    992/1,487.71 = 298.60/x
  3. Step 3: Cross multiply
    992x = 1,487.71 × 298.60
  4. Step 4: Simplify right side
    992x = 444,230.21
  5. Step 5: Solve for x
    x = 444,230.21/992
  6. Step 6: Final answer
    x = 447.81

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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.