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Finding the Fourth Proportional to 1,305.12, 1,957.21 and 483.22

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Solution

The fourth proportional to 1,305.12, 1,957.21 and 483.22 is: 724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.12 : 1,957.21 = 483.22 : x
  2. Step 2: Convert to fraction form
    1,305.12/1,957.21 = 483.22/x
  3. Step 3: Cross multiply
    1,305.12x = 1,957.21 × 483.22
  4. Step 4: Simplify right side
    1,305.12x = 945,763.02
  5. Step 5: Solve for x
    x = 945,763.02/1,305.12
  6. Step 6: Final answer
    x = 724.66

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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.