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Finding the Fourth Proportional to 1,305.13, 1,957.70 and 331.23

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Solution

The fourth proportional to 1,305.13, 1,957.70 and 331.23 is: 496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.13 : 1,957.70 = 331.23 : x
  2. Step 2: Convert to fraction form
    1,305.13/1,957.70 = 331.23/x
  3. Step 3: Cross multiply
    1,305.13x = 1,957.70 × 331.23
  4. Step 4: Simplify right side
    1,305.13x = 648,454.69
  5. Step 5: Solve for x
    x = 648,454.69/1,305.13
  6. Step 6: Final answer
    x = 496.85

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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.