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Finding the Fourth Proportional to 992.89, 1,489.21 and 262.52

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Solution

The fourth proportional to 992.89, 1,489.21 and 262.52 is: 393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.89 : 1,489.21 = 262.52 : x
  2. Step 2: Convert to fraction form
    992.89/1,489.21 = 262.52/x
  3. Step 3: Cross multiply
    992.89x = 1,489.21 × 262.52
  4. Step 4: Simplify right side
    992.89x = 390,946.10
  5. Step 5: Solve for x
    x = 390,946.10/992.89
  6. Step 6: Final answer
    x = 393.75

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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.