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Finding the Fourth Proportional to 1,076.37, 1,613.62 and 582.27

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Solution

The fourth proportional to 1,076.37, 1,613.62 and 582.27 is: 872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.37 : 1,613.62 = 582.27 : x
  2. Step 2: Convert to fraction form
    1,076.37/1,613.62 = 582.27/x
  3. Step 3: Cross multiply
    1,076.37x = 1,613.62 × 582.27
  4. Step 4: Simplify right side
    1,076.37x = 939,562.52
  5. Step 5: Solve for x
    x = 939,562.52/1,076.37
  6. Step 6: Final answer
    x = 872.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.