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Finding the Fourth Proportional to 1,072.32, 1,605.60 and 1,007.40

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Solution

The fourth proportional to 1,072.32, 1,605.60 and 1,007.40 is: 1,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.32 : 1,605.60 = 1,007.40 : x
  2. Step 2: Convert to fraction form
    1,072.32/1,605.60 = 1,007.40/x
  3. Step 3: Cross multiply
    1,072.32x = 1,605.60 × 1,007.40
  4. Step 4: Simplify right side
    1,072.32x = 1,617,481.44
  5. Step 5: Solve for x
    x = 1,617,481.44/1,072.32
  6. Step 6: Final answer
    x = 1,508.39

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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.