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Finding the Fourth Proportional to 1,471.16, 2,205.96 and 648.48

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Solution

The fourth proportional to 1,471.16, 2,205.96 and 648.48 is: 972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.16 : 2,205.96 = 648.48 : x
  2. Step 2: Convert to fraction form
    1,471.16/2,205.96 = 648.48/x
  3. Step 3: Cross multiply
    1,471.16x = 2,205.96 × 648.48
  4. Step 4: Simplify right side
    1,471.16x = 1,430,520.94
  5. Step 5: Solve for x
    x = 1,430,520.94/1,471.16
  6. Step 6: Final answer
    x = 972.38

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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.