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Finding the Fourth Proportional to 1,092.41, 1,507.34 and 650.24

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Solution

The fourth proportional to 1,092.41, 1,507.34 and 650.24 is: 897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.41 : 1,507.34 = 650.24 : x
  2. Step 2: Convert to fraction form
    1,092.41/1,507.34 = 650.24/x
  3. Step 3: Cross multiply
    1,092.41x = 1,507.34 × 650.24
  4. Step 4: Simplify right side
    1,092.41x = 980,129.51
  5. Step 5: Solve for x
    x = 980,129.51/1,092.41
  6. Step 6: Final answer
    x = 897.22

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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.