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Finding the Fourth Proportional to 1,196.06, 1,650.71 and 865.58

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Solution

The fourth proportional to 1,196.06, 1,650.71 and 865.58 is: 1,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.06 : 1,650.71 = 865.58 : x
  2. Step 2: Convert to fraction form
    1,196.06/1,650.71 = 865.58/x
  3. Step 3: Cross multiply
    1,196.06x = 1,650.71 × 865.58
  4. Step 4: Simplify right side
    1,196.06x = 1,428,815.47
  5. Step 5: Solve for x
    x = 1,428,815.47/1,196.06
  6. Step 6: Final answer
    x = 1,194.61

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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.