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Finding the Fourth Proportional to 823.66, 1,236.66 and 514.63

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Solution

The fourth proportional to 823.66, 1,236.66 and 514.63 is: 772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.66 : 1,236.66 = 514.63 : x
  2. Step 2: Convert to fraction form
    823.66/1,236.66 = 514.63/x
  3. Step 3: Cross multiply
    823.66x = 1,236.66 × 514.63
  4. Step 4: Simplify right side
    823.66x = 636,422.34
  5. Step 5: Solve for x
    x = 636,422.34/823.66
  6. Step 6: Final answer
    x = 772.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.