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Finding the Fourth Proportional to 992.84, 1,488.49 and 399.80

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Solution

The fourth proportional to 992.84, 1,488.49 and 399.80 is: 599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.84 : 1,488.49 = 399.80 : x
  2. Step 2: Convert to fraction form
    992.84/1,488.49 = 399.80/x
  3. Step 3: Cross multiply
    992.84x = 1,488.49 × 399.80
  4. Step 4: Simplify right side
    992.84x = 595,098.30
  5. Step 5: Solve for x
    x = 595,098.30/992.84
  6. Step 6: Final answer
    x = 599.39

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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.