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Finding the Fourth Proportional to 1,066.37, 1,600.31 and 481.34

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Solution

The fourth proportional to 1,066.37, 1,600.31 and 481.34 is: 722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.37 : 1,600.31 = 481.34 : x
  2. Step 2: Convert to fraction form
    1,066.37/1,600.31 = 481.34/x
  3. Step 3: Cross multiply
    1,066.37x = 1,600.31 × 481.34
  4. Step 4: Simplify right side
    1,066.37x = 770,295.71
  5. Step 5: Solve for x
    x = 770,295.71/1,066.37
  6. Step 6: Final answer
    x = 722.36

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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.