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Finding the Fourth Proportional to 1,174.49, 1,620.83 and 650.52

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Solution

The fourth proportional to 1,174.49, 1,620.83 and 650.52 is: 897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.49 : 1,620.83 = 650.52 : x
  2. Step 2: Convert to fraction form
    1,174.49/1,620.83 = 650.52/x
  3. Step 3: Cross multiply
    1,174.49x = 1,620.83 × 650.52
  4. Step 4: Simplify right side
    1,174.49x = 1,054,383.96
  5. Step 5: Solve for x
    x = 1,054,383.96/1,174.49
  6. Step 6: Final answer
    x = 897.74

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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.