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Finding the Fourth Proportional to 1,305.42, 1,956.76 and 483.16

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Solution

The fourth proportional to 1,305.42, 1,956.76 and 483.16 is: 724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.42 : 1,956.76 = 483.16 : x
  2. Step 2: Convert to fraction form
    1,305.42/1,956.76 = 483.16/x
  3. Step 3: Cross multiply
    1,305.42x = 1,956.76 × 483.16
  4. Step 4: Simplify right side
    1,305.42x = 945,428.16
  5. Step 5: Solve for x
    x = 945,428.16/1,305.42
  6. Step 6: Final answer
    x = 724.23

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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.