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Finding the Fourth Proportional to 992.27, 1,487.18 and 829.46

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Solution

The fourth proportional to 992.27, 1,487.18 and 829.46 is: 1,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.27 : 1,487.18 = 829.46 : x
  2. Step 2: Convert to fraction form
    992.27/1,487.18 = 829.46/x
  3. Step 3: Cross multiply
    992.27x = 1,487.18 × 829.46
  4. Step 4: Simplify right side
    992.27x = 1,233,544.74
  5. Step 5: Solve for x
    x = 1,233,544.74/992.27
  6. Step 6: Final answer
    x = 1,243.16

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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.