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Finding the Fourth Proportional to 1,066.39, 1,598.92 and 449.78

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Solution

The fourth proportional to 1,066.39, 1,598.92 and 449.78 is: 674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.39 : 1,598.92 = 449.78 : x
  2. Step 2: Convert to fraction form
    1,066.39/1,598.92 = 449.78/x
  3. Step 3: Cross multiply
    1,066.39x = 1,598.92 × 449.78
  4. Step 4: Simplify right side
    1,066.39x = 719,153.12
  5. Step 5: Solve for x
    x = 719,153.12/1,066.39
  6. Step 6: Final answer
    x = 674.38

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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.