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Finding the Fourth Proportional to 957.91, 1,435.65 and 827.91

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Solution

The fourth proportional to 957.91, 1,435.65 and 827.91 is: 1,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.91 : 1,435.65 = 827.91 : x
  2. Step 2: Convert to fraction form
    957.91/1,435.65 = 827.91/x
  3. Step 3: Cross multiply
    957.91x = 1,435.65 × 827.91
  4. Step 4: Simplify right side
    957.91x = 1,188,588.99
  5. Step 5: Solve for x
    x = 1,188,588.99/957.91
  6. Step 6: Final answer
    x = 1,240.81

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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.