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Finding the Fourth Proportional to 1,752.73, 2,629.59 and 520.14

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Solution

The fourth proportional to 1,752.73, 2,629.59 and 520.14 is: 780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.73 : 2,629.59 = 520.14 : x
  2. Step 2: Convert to fraction form
    1,752.73/2,629.59 = 520.14/x
  3. Step 3: Cross multiply
    1,752.73x = 2,629.59 × 520.14
  4. Step 4: Simplify right side
    1,752.73x = 1,367,754.94
  5. Step 5: Solve for x
    x = 1,367,754.94/1,752.73
  6. Step 6: Final answer
    x = 780.36

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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.