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Finding the Fourth Proportional to 992.26, 1,489.29 and 444.34

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Solution

The fourth proportional to 992.26, 1,489.29 and 444.34 is: 666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.26 : 1,489.29 = 444.34 : x
  2. Step 2: Convert to fraction form
    992.26/1,489.29 = 444.34/x
  3. Step 3: Cross multiply
    992.26x = 1,489.29 × 444.34
  4. Step 4: Simplify right side
    992.26x = 661,751.12
  5. Step 5: Solve for x
    x = 661,751.12/992.26
  6. Step 6: Final answer
    x = 666.91

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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.