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Finding the Fourth Proportional to 992.93, 1,489.52 and 299.57

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Solution

The fourth proportional to 992.93, 1,489.52 and 299.57 is: 449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.93 : 1,489.52 = 299.57 : x
  2. Step 2: Convert to fraction form
    992.93/1,489.52 = 299.57/x
  3. Step 3: Cross multiply
    992.93x = 1,489.52 × 299.57
  4. Step 4: Simplify right side
    992.93x = 446,208.81
  5. Step 5: Solve for x
    x = 446,208.81/992.93
  6. Step 6: Final answer
    x = 449.39

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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.