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Finding the Fourth Proportional to 992.75, 1,489.80 and 506.13

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Solution

The fourth proportional to 992.75, 1,489.80 and 506.13 is: 759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.75 : 1,489.80 = 506.13 : x
  2. Step 2: Convert to fraction form
    992.75/1,489.80 = 506.13/x
  3. Step 3: Cross multiply
    992.75x = 1,489.80 × 506.13
  4. Step 4: Simplify right side
    992.75x = 754,032.47
  5. Step 5: Solve for x
    x = 754,032.47/992.75
  6. Step 6: Final answer
    x = 759.54

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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.