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Finding the Fourth Proportional to 1,247.70, 1,871.57 and 323.21

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Solution

The fourth proportional to 1,247.70, 1,871.57 and 323.21 is: 484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.70 : 1,871.57 = 323.21 : x
  2. Step 2: Convert to fraction form
    1,247.70/1,871.57 = 323.21/x
  3. Step 3: Cross multiply
    1,247.70x = 1,871.57 × 323.21
  4. Step 4: Simplify right side
    1,247.70x = 604,899.17
  5. Step 5: Solve for x
    x = 604,899.17/1,247.70
  6. Step 6: Final answer
    x = 484.81

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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.