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Finding the Fourth Proportional to 1,332.14, 1,998.27 and 965.18

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Solution

The fourth proportional to 1,332.14, 1,998.27 and 965.18 is: 1,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.14 : 1,998.27 = 965.18 : x
  2. Step 2: Convert to fraction form
    1,332.14/1,998.27 = 965.18/x
  3. Step 3: Cross multiply
    1,332.14x = 1,998.27 × 965.18
  4. Step 4: Simplify right side
    1,332.14x = 1,928,690.24
  5. Step 5: Solve for x
    x = 1,928,690.24/1,332.14
  6. Step 6: Final answer
    x = 1,447.81

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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.