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Finding the Fourth Proportional to 1,174.68, 1,621.18 and 650.82

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Solution

The fourth proportional to 1,174.68, 1,621.18 and 650.82 is: 898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.68 : 1,621.18 = 650.82 : x
  2. Step 2: Convert to fraction form
    1,174.68/1,621.18 = 650.82/x
  3. Step 3: Cross multiply
    1,174.68x = 1,621.18 × 650.82
  4. Step 4: Simplify right side
    1,174.68x = 1,055,096.37
  5. Step 5: Solve for x
    x = 1,055,096.37/1,174.68
  6. Step 6: Final answer
    x = 898.20

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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.