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Finding the Fourth Proportional to 1,305.84, 1,958.84 and 416.56

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Solution

The fourth proportional to 1,305.84, 1,958.84 and 416.56 is: 624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.84 : 1,958.84 = 416.56 : x
  2. Step 2: Convert to fraction form
    1,305.84/1,958.84 = 416.56/x
  3. Step 3: Cross multiply
    1,305.84x = 1,958.84 × 416.56
  4. Step 4: Simplify right side
    1,305.84x = 815,974.39
  5. Step 5: Solve for x
    x = 815,974.39/1,305.84
  6. Step 6: Final answer
    x = 624.87

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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.