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Finding the Fourth Proportional to 1,229.64, 1,845.27 and 580.44

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Solution

The fourth proportional to 1,229.64, 1,845.27 and 580.44 is: 871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.64 : 1,845.27 = 580.44 : x
  2. Step 2: Convert to fraction form
    1,229.64/1,845.27 = 580.44/x
  3. Step 3: Cross multiply
    1,229.64x = 1,845.27 × 580.44
  4. Step 4: Simplify right side
    1,229.64x = 1,071,068.52
  5. Step 5: Solve for x
    x = 1,071,068.52/1,229.64
  6. Step 6: Final answer
    x = 871.04

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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.