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Finding the Fourth Proportional to 1,232.56, 1,847.13 and 615.48

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Solution

The fourth proportional to 1,232.56, 1,847.13 and 615.48 is: 922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.56 : 1,847.13 = 615.48 : x
  2. Step 2: Convert to fraction form
    1,232.56/1,847.13 = 615.48/x
  3. Step 3: Cross multiply
    1,232.56x = 1,847.13 × 615.48
  4. Step 4: Simplify right side
    1,232.56x = 1,136,871.57
  5. Step 5: Solve for x
    x = 1,136,871.57/1,232.56
  6. Step 6: Final answer
    x = 922.37

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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.