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Finding the Fourth Proportional to 812.76, 1,120.86 and 702.36

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Solution

The fourth proportional to 812.76, 1,120.86 and 702.36 is: 968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.76 : 1,120.86 = 702.36 : x
  2. Step 2: Convert to fraction form
    812.76/1,120.86 = 702.36/x
  3. Step 3: Cross multiply
    812.76x = 1,120.86 × 702.36
  4. Step 4: Simplify right side
    812.76x = 787,247.23
  5. Step 5: Solve for x
    x = 787,247.23/812.76
  6. Step 6: Final answer
    x = 968.61

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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.