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Finding the Fourth Proportional to 823.08, 1,237.08 and 679.74

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Solution

The fourth proportional to 823.08, 1,237.08 and 679.74 is: 1,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.08 : 1,237.08 = 679.74 : x
  2. Step 2: Convert to fraction form
    823.08/1,237.08 = 679.74/x
  3. Step 3: Cross multiply
    823.08x = 1,237.08 × 679.74
  4. Step 4: Simplify right side
    823.08x = 840,892.76
  5. Step 5: Solve for x
    x = 840,892.76/823.08
  6. Step 6: Final answer
    x = 1,021.64

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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.