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Finding the Fourth Proportional to 1,466.49, 2,200.06 and 492.56

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Solution

The fourth proportional to 1,466.49, 2,200.06 and 492.56 is: 738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.49 : 2,200.06 = 492.56 : x
  2. Step 2: Convert to fraction form
    1,466.49/2,200.06 = 492.56/x
  3. Step 3: Cross multiply
    1,466.49x = 2,200.06 × 492.56
  4. Step 4: Simplify right side
    1,466.49x = 1,083,667.67
  5. Step 5: Solve for x
    x = 1,083,667.67/1,466.49
  6. Step 6: Final answer
    x = 738.96

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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.