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Finding the Fourth Proportional to 992.44, 1,488.36 and 299.13

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Solution

The fourth proportional to 992.44, 1,488.36 and 299.13 is: 448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.44 : 1,488.36 = 299.13 : x
  2. Step 2: Convert to fraction form
    992.44/1,488.36 = 299.13/x
  3. Step 3: Cross multiply
    992.44x = 1,488.36 × 299.13
  4. Step 4: Simplify right side
    992.44x = 445,213.13
  5. Step 5: Solve for x
    x = 445,213.13/992.44
  6. Step 6: Final answer
    x = 448.60

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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.