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Finding the Fourth Proportional to 992.67, 1,480.26 and 923.41

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Solution

The fourth proportional to 992.67, 1,480.26 and 923.41 is: 1,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.67 : 1,480.26 = 923.41 : x
  2. Step 2: Convert to fraction form
    992.67/1,480.26 = 923.41/x
  3. Step 3: Cross multiply
    992.67x = 1,480.26 × 923.41
  4. Step 4: Simplify right side
    992.67x = 1,366,884.58
  5. Step 5: Solve for x
    x = 1,366,884.58/992.67
  6. Step 6: Final answer
    x = 1,376.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.