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Finding the Fourth Proportional to 1,162.21, 1,604 and 664.73

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Solution

The fourth proportional to 1,162.21, 1,604 and 664.73 is: 917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.21 : 1,604 = 664.73 : x
  2. Step 2: Convert to fraction form
    1,162.21/1,604 = 664.73/x
  3. Step 3: Cross multiply
    1,162.21x = 1,604 × 664.73
  4. Step 4: Simplify right side
    1,162.21x = 1,066,226.92
  5. Step 5: Solve for x
    x = 1,066,226.92/1,162.21
  6. Step 6: Final answer
    x = 917.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.