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Finding the Fourth Proportional to 992.72, 1,496 and 823.20

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Solution

The fourth proportional to 992.72, 1,496 and 823.20 is: 1,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.72 : 1,496 = 823.20 : x
  2. Step 2: Convert to fraction form
    992.72/1,496 = 823.20/x
  3. Step 3: Cross multiply
    992.72x = 1,496 × 823.20
  4. Step 4: Simplify right side
    992.72x = 1,231,507.20
  5. Step 5: Solve for x
    x = 1,231,507.20/992.72
  6. Step 6: Final answer
    x = 1,240.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.