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Finding the Fourth Proportional to 991.55, 1,487.52 and 298.19

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Solution

The fourth proportional to 991.55, 1,487.52 and 298.19 is: 447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.55 : 1,487.52 = 298.19 : x
  2. Step 2: Convert to fraction form
    991.55/1,487.52 = 298.19/x
  3. Step 3: Cross multiply
    991.55x = 1,487.52 × 298.19
  4. Step 4: Simplify right side
    991.55x = 443,557.69
  5. Step 5: Solve for x
    x = 443,557.69/991.55
  6. Step 6: Final answer
    x = 447.34

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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.