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Finding the Fourth Proportional to 1,323.46, 1,985.24 and 490.73

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Solution

The fourth proportional to 1,323.46, 1,985.24 and 490.73 is: 736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.46 : 1,985.24 = 490.73 : x
  2. Step 2: Convert to fraction form
    1,323.46/1,985.24 = 490.73/x
  3. Step 3: Cross multiply
    1,323.46x = 1,985.24 × 490.73
  4. Step 4: Simplify right side
    1,323.46x = 974,224.43
  5. Step 5: Solve for x
    x = 974,224.43/1,323.46
  6. Step 6: Final answer
    x = 736.12

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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.