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Finding the Fourth Proportional to 991.41, 1,486.82 and 297.89

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Solution

The fourth proportional to 991.41, 1,486.82 and 297.89 is: 446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.41 : 1,486.82 = 297.89 : x
  2. Step 2: Convert to fraction form
    991.41/1,486.82 = 297.89/x
  3. Step 3: Cross multiply
    991.41x = 1,486.82 × 297.89
  4. Step 4: Simplify right side
    991.41x = 442,916.06
  5. Step 5: Solve for x
    x = 442,916.06/991.41
  6. Step 6: Final answer
    x = 446.76

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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.