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Finding the Fourth Proportional to 1,174.82, 1,621.34 and 650.94

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Solution

The fourth proportional to 1,174.82, 1,621.34 and 650.94 is: 898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.82 : 1,621.34 = 650.94 : x
  2. Step 2: Convert to fraction form
    1,174.82/1,621.34 = 650.94/x
  3. Step 3: Cross multiply
    1,174.82x = 1,621.34 × 650.94
  4. Step 4: Simplify right side
    1,174.82x = 1,055,395.06
  5. Step 5: Solve for x
    x = 1,055,395.06/1,174.82
  6. Step 6: Final answer
    x = 898.35

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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.