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Finding the Fourth Proportional to 1,471.18, 2,205.96 and 648.49

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Solution

The fourth proportional to 1,471.18, 2,205.96 and 648.49 is: 972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.18 : 2,205.96 = 648.49 : x
  2. Step 2: Convert to fraction form
    1,471.18/2,205.96 = 648.49/x
  3. Step 3: Cross multiply
    1,471.18x = 2,205.96 × 648.49
  4. Step 4: Simplify right side
    1,471.18x = 1,430,543.00
  5. Step 5: Solve for x
    x = 1,430,543.00/1,471.18
  6. Step 6: Final answer
    x = 972.38

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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.