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Finding the Fourth Proportional to 991.62, 1,487.64 and 298.24

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Solution

The fourth proportional to 991.62, 1,487.64 and 298.24 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.62 : 1,487.64 = 298.24 : x
  2. Step 2: Convert to fraction form
    991.62/1,487.64 = 298.24/x
  3. Step 3: Cross multiply
    991.62x = 1,487.64 × 298.24
  4. Step 4: Simplify right side
    991.62x = 443,671.15
  5. Step 5: Solve for x
    x = 443,671.15/991.62
  6. Step 6: Final answer
    x = 447.42

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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.