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Finding the Fourth Proportional to 992.98, 1,489.48 and 262.55

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Solution

The fourth proportional to 992.98, 1,489.48 and 262.55 is: 393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.98 : 1,489.48 = 262.55 : x
  2. Step 2: Convert to fraction form
    992.98/1,489.48 = 262.55/x
  3. Step 3: Cross multiply
    992.98x = 1,489.48 × 262.55
  4. Step 4: Simplify right side
    992.98x = 391,066.04
  5. Step 5: Solve for x
    x = 391,066.04/992.98
  6. Step 6: Final answer
    x = 393.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.