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Finding the Fourth Proportional to 991.26, 1,486.97 and 406.12

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Solution

The fourth proportional to 991.26, 1,486.97 and 406.12 is: 609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.26 : 1,486.97 = 406.12 : x
  2. Step 2: Convert to fraction form
    991.26/1,486.97 = 406.12/x
  3. Step 3: Cross multiply
    991.26x = 1,486.97 × 406.12
  4. Step 4: Simplify right side
    991.26x = 603,889.27
  5. Step 5: Solve for x
    x = 603,889.27/991.26
  6. Step 6: Final answer
    x = 609.22

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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.