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Finding the Fourth Proportional to 1,229.00, 1,695.56 and 809.55

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Solution

The fourth proportional to 1,229.00, 1,695.56 and 809.55 is: 1,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.00 : 1,695.56 = 809.55 : x
  2. Step 2: Convert to fraction form
    1,229.00/1,695.56 = 809.55/x
  3. Step 3: Cross multiply
    1,229.00x = 1,695.56 × 809.55
  4. Step 4: Simplify right side
    1,229.00x = 1,372,636.55
  5. Step 5: Solve for x
    x = 1,372,636.55/1,229.00
  6. Step 6: Final answer
    x = 1,116.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.