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Finding the Fourth Proportional to 1,229.90, 1,845.30 and 580.15

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Solution

The fourth proportional to 1,229.90, 1,845.30 and 580.15 is: 870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.90 : 1,845.30 = 580.15 : x
  2. Step 2: Convert to fraction form
    1,229.90/1,845.30 = 580.15/x
  3. Step 3: Cross multiply
    1,229.90x = 1,845.30 × 580.15
  4. Step 4: Simplify right side
    1,229.90x = 1,070,541.57
  5. Step 5: Solve for x
    x = 1,070,541.57/1,229.90
  6. Step 6: Final answer
    x = 870.43

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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.