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Finding the Fourth Proportional to 991.72, 1,486.62 and 505.48

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Solution

The fourth proportional to 991.72, 1,486.62 and 505.48 is: 757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.72 : 1,486.62 = 505.48 : x
  2. Step 2: Convert to fraction form
    991.72/1,486.62 = 505.48/x
  3. Step 3: Cross multiply
    991.72x = 1,486.62 × 505.48
  4. Step 4: Simplify right side
    991.72x = 751,456.68
  5. Step 5: Solve for x
    x = 751,456.68/991.72
  6. Step 6: Final answer
    x = 757.73

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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.