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Finding the Fourth Proportional to 1,232.26, 1,848 and 410.40

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Solution

The fourth proportional to 1,232.26, 1,848 and 410.40 is: 615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.26 : 1,848 = 410.40 : x
  2. Step 2: Convert to fraction form
    1,232.26/1,848 = 410.40/x
  3. Step 3: Cross multiply
    1,232.26x = 1,848 × 410.40
  4. Step 4: Simplify right side
    1,232.26x = 758,419.20
  5. Step 5: Solve for x
    x = 758,419.20/1,232.26
  6. Step 6: Final answer
    x = 615.47

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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.