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Finding the Fourth Proportional to 991.09, 1,486.89 and 297.76

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Solution

The fourth proportional to 991.09, 1,486.89 and 297.76 is: 446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.09 : 1,486.89 = 297.76 : x
  2. Step 2: Convert to fraction form
    991.09/1,486.89 = 297.76/x
  3. Step 3: Cross multiply
    991.09x = 1,486.89 × 297.76
  4. Step 4: Simplify right side
    991.09x = 442,736.37
  5. Step 5: Solve for x
    x = 442,736.37/991.09
  6. Step 6: Final answer
    x = 446.72

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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.