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Finding the Fourth Proportional to 991.90, 1,487.85 and 298.54

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Solution

The fourth proportional to 991.90, 1,487.85 and 298.54 is: 447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.90 : 1,487.85 = 298.54 : x
  2. Step 2: Convert to fraction form
    991.90/1,487.85 = 298.54/x
  3. Step 3: Cross multiply
    991.90x = 1,487.85 × 298.54
  4. Step 4: Simplify right side
    991.90x = 444,182.74
  5. Step 5: Solve for x
    x = 444,182.74/991.90
  6. Step 6: Final answer
    x = 447.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.