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Finding the Fourth Proportional to 1,753.26, 2,629.02 and 828.02

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Solution

The fourth proportional to 1,753.26, 2,629.02 and 828.02 is: 1,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.26 : 2,629.02 = 828.02 : x
  2. Step 2: Convert to fraction form
    1,753.26/2,629.02 = 828.02/x
  3. Step 3: Cross multiply
    1,753.26x = 2,629.02 × 828.02
  4. Step 4: Simplify right side
    1,753.26x = 2,176,881.14
  5. Step 5: Solve for x
    x = 2,176,881.14/1,753.26
  6. Step 6: Final answer
    x = 1,241.62

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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.