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Finding the Fourth Proportional to 827.41, 1,141.46 and 512.59

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Solution

The fourth proportional to 827.41, 1,141.46 and 512.59 is: 707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.41 : 1,141.46 = 512.59 : x
  2. Step 2: Convert to fraction form
    827.41/1,141.46 = 512.59/x
  3. Step 3: Cross multiply
    827.41x = 1,141.46 × 512.59
  4. Step 4: Simplify right side
    827.41x = 585,092.71
  5. Step 5: Solve for x
    x = 585,092.71/827.41
  6. Step 6: Final answer
    x = 707.14

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