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Finding the Fourth Proportional to 1,462.64, 2,194.56 and 769.55

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Solution

The fourth proportional to 1,462.64, 2,194.56 and 769.55 is: 1,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.64 : 2,194.56 = 769.55 : x
  2. Step 2: Convert to fraction form
    1,462.64/2,194.56 = 769.55/x
  3. Step 3: Cross multiply
    1,462.64x = 2,194.56 × 769.55
  4. Step 4: Simplify right side
    1,462.64x = 1,688,812.68
  5. Step 5: Solve for x
    x = 1,688,812.68/1,462.64
  6. Step 6: Final answer
    x = 1,154.64

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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.