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Finding the Fourth Proportional to 1,752.44, 2,629.05 and 519.95

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Solution

The fourth proportional to 1,752.44, 2,629.05 and 519.95 is: 780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.44 : 2,629.05 = 519.95 : x
  2. Step 2: Convert to fraction form
    1,752.44/2,629.05 = 519.95/x
  3. Step 3: Cross multiply
    1,752.44x = 2,629.05 × 519.95
  4. Step 4: Simplify right side
    1,752.44x = 1,366,974.55
  5. Step 5: Solve for x
    x = 1,366,974.55/1,752.44
  6. Step 6: Final answer
    x = 780.04

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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.