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Finding the Fourth Proportional to 1,232.57, 1,847.46 and 410.65

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Solution

The fourth proportional to 1,232.57, 1,847.46 and 410.65 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.57 : 1,847.46 = 410.65 : x
  2. Step 2: Convert to fraction form
    1,232.57/1,847.46 = 410.65/x
  3. Step 3: Cross multiply
    1,232.57x = 1,847.46 × 410.65
  4. Step 4: Simplify right side
    1,232.57x = 758,659.45
  5. Step 5: Solve for x
    x = 758,659.45/1,232.57
  6. Step 6: Final answer
    x = 615.51

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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.