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Finding the Fourth Proportional to 1,753.80, 2,629.90 and 779.40

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Solution

The fourth proportional to 1,753.80, 2,629.90 and 779.40 is: 1,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.80 : 2,629.90 = 779.40 : x
  2. Step 2: Convert to fraction form
    1,753.80/2,629.90 = 779.40/x
  3. Step 3: Cross multiply
    1,753.80x = 2,629.90 × 779.40
  4. Step 4: Simplify right side
    1,753.80x = 2,049,744.06
  5. Step 5: Solve for x
    x = 2,049,744.06/1,753.80
  6. Step 6: Final answer
    x = 1,168.74

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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.