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Finding the Fourth Proportional to 1,183.71, 1,633.56 and 652.61

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Solution

The fourth proportional to 1,183.71, 1,633.56 and 652.61 is: 900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.71 : 1,633.56 = 652.61 : x
  2. Step 2: Convert to fraction form
    1,183.71/1,633.56 = 652.61/x
  3. Step 3: Cross multiply
    1,183.71x = 1,633.56 × 652.61
  4. Step 4: Simplify right side
    1,183.71x = 1,066,078.41
  5. Step 5: Solve for x
    x = 1,066,078.41/1,183.71
  6. Step 6: Final answer
    x = 900.63

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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.