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Finding the Fourth Proportional to 1,183.41, 1,633.14 and 652.30

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Solution

The fourth proportional to 1,183.41, 1,633.14 and 652.30 is: 900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.41 : 1,633.14 = 652.30 : x
  2. Step 2: Convert to fraction form
    1,183.41/1,633.14 = 652.30/x
  3. Step 3: Cross multiply
    1,183.41x = 1,633.14 × 652.30
  4. Step 4: Simplify right side
    1,183.41x = 1,065,297.22
  5. Step 5: Solve for x
    x = 1,065,297.22/1,183.41
  6. Step 6: Final answer
    x = 900.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.