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Finding the Fourth Proportional to 1,232.26, 1,847.67 and 410.32

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Solution

The fourth proportional to 1,232.26, 1,847.67 and 410.32 is: 615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.26 : 1,847.67 = 410.32 : x
  2. Step 2: Convert to fraction form
    1,232.26/1,847.67 = 410.32/x
  3. Step 3: Cross multiply
    1,232.26x = 1,847.67 × 410.32
  4. Step 4: Simplify right side
    1,232.26x = 758,135.95
  5. Step 5: Solve for x
    x = 758,135.95/1,232.26
  6. Step 6: Final answer
    x = 615.24

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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.