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Finding the Fourth Proportional to 1,174.13, 1,620.32 and 650.15

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Solution

The fourth proportional to 1,174.13, 1,620.32 and 650.15 is: 897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.13 : 1,620.32 = 650.15 : x
  2. Step 2: Convert to fraction form
    1,174.13/1,620.32 = 650.15/x
  3. Step 3: Cross multiply
    1,174.13x = 1,620.32 × 650.15
  4. Step 4: Simplify right side
    1,174.13x = 1,053,439.70
  5. Step 5: Solve for x
    x = 1,053,439.70/1,174.13
  6. Step 6: Final answer
    x = 897.21

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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.