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Finding the Fourth Proportional to 1,305.26, 1,956.51 and 958.07

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Solution

The fourth proportional to 1,305.26, 1,956.51 and 958.07 is: 1,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.26 : 1,956.51 = 958.07 : x
  2. Step 2: Convert to fraction form
    1,305.26/1,956.51 = 958.07/x
  3. Step 3: Cross multiply
    1,305.26x = 1,956.51 × 958.07
  4. Step 4: Simplify right side
    1,305.26x = 1,874,474.68
  5. Step 5: Solve for x
    x = 1,874,474.68/1,305.26
  6. Step 6: Final answer
    x = 1,436.10

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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.