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Finding the Fourth Proportional to 1,305.37, 1,956.57 and 689.77

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Solution

The fourth proportional to 1,305.37, 1,956.57 and 689.77 is: 1,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.37 : 1,956.57 = 689.77 : x
  2. Step 2: Convert to fraction form
    1,305.37/1,956.57 = 689.77/x
  3. Step 3: Cross multiply
    1,305.37x = 1,956.57 × 689.77
  4. Step 4: Simplify right side
    1,305.37x = 1,349,583.29
  5. Step 5: Solve for x
    x = 1,349,583.29/1,305.37
  6. Step 6: Final answer
    x = 1,033.87

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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.