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Finding the Fourth Proportional to 820.30, 1,132.71 and 696.37

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Solution

The fourth proportional to 820.30, 1,132.71 and 696.37 is: 961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.30 : 1,132.71 = 696.37 : x
  2. Step 2: Convert to fraction form
    820.30/1,132.71 = 696.37/x
  3. Step 3: Cross multiply
    820.30x = 1,132.71 × 696.37
  4. Step 4: Simplify right side
    820.30x = 788,785.26
  5. Step 5: Solve for x
    x = 788,785.26/820.30
  6. Step 6: Final answer
    x = 961.58

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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.