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Finding the Fourth Proportional to 1,753.26, 2,629.20 and 657.02

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Solution

The fourth proportional to 1,753.26, 2,629.20 and 657.02 is: 985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.26 : 2,629.20 = 657.02 : x
  2. Step 2: Convert to fraction form
    1,753.26/2,629.20 = 657.02/x
  3. Step 3: Cross multiply
    1,753.26x = 2,629.20 × 657.02
  4. Step 4: Simplify right side
    1,753.26x = 1,727,436.98
  5. Step 5: Solve for x
    x = 1,727,436.98/1,753.26
  6. Step 6: Final answer
    x = 985.27

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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.