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Finding the Fourth Proportional to 1,224.57, 1,836.38 and 965.07

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Solution

The fourth proportional to 1,224.57, 1,836.38 and 965.07 is: 1,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.57 : 1,836.38 = 965.07 : x
  2. Step 2: Convert to fraction form
    1,224.57/1,836.38 = 965.07/x
  3. Step 3: Cross multiply
    1,224.57x = 1,836.38 × 965.07
  4. Step 4: Simplify right side
    1,224.57x = 1,772,230.42
  5. Step 5: Solve for x
    x = 1,772,230.42/1,224.57
  6. Step 6: Final answer
    x = 1,447.23

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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.