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Finding the Fourth Proportional to 1,795.72, 2,694 and 563.06

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Solution

The fourth proportional to 1,795.72, 2,694 and 563.06 is: 844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.72 : 2,694 = 563.06 : x
  2. Step 2: Convert to fraction form
    1,795.72/2,694 = 563.06/x
  3. Step 3: Cross multiply
    1,795.72x = 2,694 × 563.06
  4. Step 4: Simplify right side
    1,795.72x = 1,516,883.64
  5. Step 5: Solve for x
    x = 1,516,883.64/1,795.72
  6. Step 6: Final answer
    x = 844.72

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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.