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Finding the Fourth Proportional to 1,066.26, 1,599.45 and 449.85

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Solution

The fourth proportional to 1,066.26, 1,599.45 and 449.85 is: 674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.26 : 1,599.45 = 449.85 : x
  2. Step 2: Convert to fraction form
    1,066.26/1,599.45 = 449.85/x
  3. Step 3: Cross multiply
    1,066.26x = 1,599.45 × 449.85
  4. Step 4: Simplify right side
    1,066.26x = 719,512.58
  5. Step 5: Solve for x
    x = 719,512.58/1,066.26
  6. Step 6: Final answer
    x = 674.80

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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.