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Finding the Fourth Proportional to 827.24, 1,140 and 679.40

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Solution

The fourth proportional to 827.24, 1,140 and 679.40 is: 936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,140 = 679.40 : x
  2. Step 2: Convert to fraction form
    827.24/1,140 = 679.40/x
  3. Step 3: Cross multiply
    827.24x = 1,140 × 679.40
  4. Step 4: Simplify right side
    827.24x = 774,516
  5. Step 5: Solve for x
    x = 774,516/827.24
  6. Step 6: Final answer
    x = 936.27

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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.