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Finding the Fourth Proportional to 827.56, 1,141.50 and 606.52

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Solution

The fourth proportional to 827.56, 1,141.50 and 606.52 is: 836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.56 : 1,141.50 = 606.52 : x
  2. Step 2: Convert to fraction form
    827.56/1,141.50 = 606.52/x
  3. Step 3: Cross multiply
    827.56x = 1,141.50 × 606.52
  4. Step 4: Simplify right side
    827.56x = 692,342.58
  5. Step 5: Solve for x
    x = 692,342.58/827.56
  6. Step 6: Final answer
    x = 836.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.