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Finding the Fourth Proportional to 823.14, 1,234.92 and 580.14

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Solution

The fourth proportional to 823.14, 1,234.92 and 580.14 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.14 : 1,234.92 = 580.14 : x
  2. Step 2: Convert to fraction form
    823.14/1,234.92 = 580.14/x
  3. Step 3: Cross multiply
    823.14x = 1,234.92 × 580.14
  4. Step 4: Simplify right side
    823.14x = 716,426.68
  5. Step 5: Solve for x
    x = 716,426.68/823.14
  6. Step 6: Final answer
    x = 870.36

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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.