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Finding the Fourth Proportional to 1,066.13, 1,599.20 and 449.74

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Solution

The fourth proportional to 1,066.13, 1,599.20 and 449.74 is: 674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.13 : 1,599.20 = 449.74 : x
  2. Step 2: Convert to fraction form
    1,066.13/1,599.20 = 449.74/x
  3. Step 3: Cross multiply
    1,066.13x = 1,599.20 × 449.74
  4. Step 4: Simplify right side
    1,066.13x = 719,224.21
  5. Step 5: Solve for x
    x = 719,224.21/1,066.13
  6. Step 6: Final answer
    x = 674.61

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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.