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Finding the Fourth Proportional to 1,171.19, 1,756.82 and 650.90

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Solution

The fourth proportional to 1,171.19, 1,756.82 and 650.90 is: 976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.19 : 1,756.82 = 650.90 : x
  2. Step 2: Convert to fraction form
    1,171.19/1,756.82 = 650.90/x
  3. Step 3: Cross multiply
    1,171.19x = 1,756.82 × 650.90
  4. Step 4: Simplify right side
    1,171.19x = 1,143,520.16
  5. Step 5: Solve for x
    x = 1,143,520.16/1,171.19
  6. Step 6: Final answer
    x = 976.37

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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.