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Finding the Fourth Proportional to 1,066.28, 1,599.51 and 449.87

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Solution

The fourth proportional to 1,066.28, 1,599.51 and 449.87 is: 674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.28 : 1,599.51 = 449.87 : x
  2. Step 2: Convert to fraction form
    1,066.28/1,599.51 = 449.87/x
  3. Step 3: Cross multiply
    1,066.28x = 1,599.51 × 449.87
  4. Step 4: Simplify right side
    1,066.28x = 719,571.56
  5. Step 5: Solve for x
    x = 719,571.56/1,066.28
  6. Step 6: Final answer
    x = 674.84

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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.