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Finding the Fourth Proportional to 856, 1,181.28 and 769.60

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Solution

The fourth proportional to 856, 1,181.28 and 769.60 is: 1,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 1,181.28 = 769.60 : x
  2. Step 2: Convert to fraction form
    856/1,181.28 = 769.60/x
  3. Step 3: Cross multiply
    856x = 1,181.28 × 769.60
  4. Step 4: Simplify right side
    856x = 909,113.09
  5. Step 5: Solve for x
    x = 909,113.09/856
  6. Step 6: Final answer
    x = 1,062.05

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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.