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Finding the Fourth Proportional to 992.68, 1,490.84 and 668.28

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Solution

The fourth proportional to 992.68, 1,490.84 and 668.28 is: 1,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.68 : 1,490.84 = 668.28 : x
  2. Step 2: Convert to fraction form
    992.68/1,490.84 = 668.28/x
  3. Step 3: Cross multiply
    992.68x = 1,490.84 × 668.28
  4. Step 4: Simplify right side
    992.68x = 996,298.56
  5. Step 5: Solve for x
    x = 996,298.56/992.68
  6. Step 6: Final answer
    x = 1,003.65

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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.