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Finding the Fourth Proportional to 1,066.42, 1,600.14 and 481.82

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Solution

The fourth proportional to 1,066.42, 1,600.14 and 481.82 is: 722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.42 : 1,600.14 = 481.82 : x
  2. Step 2: Convert to fraction form
    1,066.42/1,600.14 = 481.82/x
  3. Step 3: Cross multiply
    1,066.42x = 1,600.14 × 481.82
  4. Step 4: Simplify right side
    1,066.42x = 770,979.45
  5. Step 5: Solve for x
    x = 770,979.45/1,066.42
  6. Step 6: Final answer
    x = 722.96

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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.