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Finding the Fourth Proportional to 1,092.24, 1,507.42 and 650.14

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Solution

The fourth proportional to 1,092.24, 1,507.42 and 650.14 is: 897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.24 : 1,507.42 = 650.14 : x
  2. Step 2: Convert to fraction form
    1,092.24/1,507.42 = 650.14/x
  3. Step 3: Cross multiply
    1,092.24x = 1,507.42 × 650.14
  4. Step 4: Simplify right side
    1,092.24x = 980,023.25
  5. Step 5: Solve for x
    x = 980,023.25/1,092.24
  6. Step 6: Final answer
    x = 897.26

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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.