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Finding the Fourth Proportional to 1,306.23, 1,958.09 and 484.28

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Solution

The fourth proportional to 1,306.23, 1,958.09 and 484.28 is: 725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.23 : 1,958.09 = 484.28 : x
  2. Step 2: Convert to fraction form
    1,306.23/1,958.09 = 484.28/x
  3. Step 3: Cross multiply
    1,306.23x = 1,958.09 × 484.28
  4. Step 4: Simplify right side
    1,306.23x = 948,269.93
  5. Step 5: Solve for x
    x = 948,269.93/1,306.23
  6. Step 6: Final answer
    x = 725.96

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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.