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Finding the Fourth Proportional to 992.49, 1,489.23 and 407.67

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Solution

The fourth proportional to 992.49, 1,489.23 and 407.67 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.49 : 1,489.23 = 407.67 : x
  2. Step 2: Convert to fraction form
    992.49/1,489.23 = 407.67/x
  3. Step 3: Cross multiply
    992.49x = 1,489.23 × 407.67
  4. Step 4: Simplify right side
    992.49x = 607,115.09
  5. Step 5: Solve for x
    x = 607,115.09/992.49
  6. Step 6: Final answer
    x = 611.71

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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.