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Finding the Fourth Proportional to 1,002.72, 1,382.48 and 648.05

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Solution

The fourth proportional to 1,002.72, 1,382.48 and 648.05 is: 893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.72 : 1,382.48 = 648.05 : x
  2. Step 2: Convert to fraction form
    1,002.72/1,382.48 = 648.05/x
  3. Step 3: Cross multiply
    1,002.72x = 1,382.48 × 648.05
  4. Step 4: Simplify right side
    1,002.72x = 895,906.01
  5. Step 5: Solve for x
    x = 895,906.01/1,002.72
  6. Step 6: Final answer
    x = 893.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.