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Finding the Fourth Proportional to 1,304.55, 1,784.30 and 1,285.11

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Solution

The fourth proportional to 1,304.55, 1,784.30 and 1,285.11 is: 1,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.55 : 1,784.30 = 1,285.11 : x
  2. Step 2: Convert to fraction form
    1,304.55/1,784.30 = 1,285.11/x
  3. Step 3: Cross multiply
    1,304.55x = 1,784.30 × 1,285.11
  4. Step 4: Simplify right side
    1,304.55x = 2,293,015.35
  5. Step 5: Solve for x
    x = 2,293,015.35/1,304.55
  6. Step 6: Final answer
    x = 1,757.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.