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Finding the Fourth Proportional to 1,169.56, 1,754.57 and 650.30

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Solution

The fourth proportional to 1,169.56, 1,754.57 and 650.30 is: 975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.56 : 1,754.57 = 650.30 : x
  2. Step 2: Convert to fraction form
    1,169.56/1,754.57 = 650.30/x
  3. Step 3: Cross multiply
    1,169.56x = 1,754.57 × 650.30
  4. Step 4: Simplify right side
    1,169.56x = 1,140,996.87
  5. Step 5: Solve for x
    x = 1,140,996.87/1,169.56
  6. Step 6: Final answer
    x = 975.58

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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.