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Finding the Fourth Proportional to 1,229.44, 1,845.44 and 957.12

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Solution

The fourth proportional to 1,229.44, 1,845.44 and 957.12 is: 1,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.44 : 1,845.44 = 957.12 : x
  2. Step 2: Convert to fraction form
    1,229.44/1,845.44 = 957.12/x
  3. Step 3: Cross multiply
    1,229.44x = 1,845.44 × 957.12
  4. Step 4: Simplify right side
    1,229.44x = 1,766,307.53
  5. Step 5: Solve for x
    x = 1,766,307.53/1,229.44
  6. Step 6: Final answer
    x = 1,436.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.