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Finding the Fourth Proportional to 1,753.98, 2,629.08 and 778.74

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Solution

The fourth proportional to 1,753.98, 2,629.08 and 778.74 is: 1,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.98 : 2,629.08 = 778.74 : x
  2. Step 2: Convert to fraction form
    1,753.98/2,629.08 = 778.74/x
  3. Step 3: Cross multiply
    1,753.98x = 2,629.08 × 778.74
  4. Step 4: Simplify right side
    1,753.98x = 2,047,369.76
  5. Step 5: Solve for x
    x = 2,047,369.76/1,753.98
  6. Step 6: Final answer
    x = 1,167.27

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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.