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Finding the Fourth Proportional to 1,753.25, 2,629.94 and 520.64

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Solution

The fourth proportional to 1,753.25, 2,629.94 and 520.64 is: 780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.25 : 2,629.94 = 520.64 : x
  2. Step 2: Convert to fraction form
    1,753.25/2,629.94 = 520.64/x
  3. Step 3: Cross multiply
    1,753.25x = 2,629.94 × 520.64
  4. Step 4: Simplify right side
    1,753.25x = 1,369,236.21
  5. Step 5: Solve for x
    x = 1,369,236.21/1,753.25
  6. Step 6: Final answer
    x = 780.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.