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Finding the Fourth Proportional to 991.49, 1,486.76 and 298.03

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Solution

The fourth proportional to 991.49, 1,486.76 and 298.03 is: 446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.49 : 1,486.76 = 298.03 : x
  2. Step 2: Convert to fraction form
    991.49/1,486.76 = 298.03/x
  3. Step 3: Cross multiply
    991.49x = 1,486.76 × 298.03
  4. Step 4: Simplify right side
    991.49x = 443,096.66
  5. Step 5: Solve for x
    x = 443,096.66/991.49
  6. Step 6: Final answer
    x = 446.90

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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.