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Finding the Fourth Proportional to 1,233.64, 1,850.74 and 412.18

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Solution

The fourth proportional to 1,233.64, 1,850.74 and 412.18 is: 618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.64 : 1,850.74 = 412.18 : x
  2. Step 2: Convert to fraction form
    1,233.64/1,850.74 = 412.18/x
  3. Step 3: Cross multiply
    1,233.64x = 1,850.74 × 412.18
  4. Step 4: Simplify right side
    1,233.64x = 762,838.01
  5. Step 5: Solve for x
    x = 762,838.01/1,233.64
  6. Step 6: Final answer
    x = 618.36

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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.