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Finding the Fourth Proportional to 1,163.70, 1,605.84 and 666.27

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Solution

The fourth proportional to 1,163.70, 1,605.84 and 666.27 is: 919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.70 : 1,605.84 = 666.27 : x
  2. Step 2: Convert to fraction form
    1,163.70/1,605.84 = 666.27/x
  3. Step 3: Cross multiply
    1,163.70x = 1,605.84 × 666.27
  4. Step 4: Simplify right side
    1,163.70x = 1,069,923.02
  5. Step 5: Solve for x
    x = 1,069,923.02/1,163.70
  6. Step 6: Final answer
    x = 919.41

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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.