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Finding the Fourth Proportional to 1,093.10, 1,507.92 and 650.63

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Solution

The fourth proportional to 1,093.10, 1,507.92 and 650.63 is: 897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.10 : 1,507.92 = 650.63 : x
  2. Step 2: Convert to fraction form
    1,093.10/1,507.92 = 650.63/x
  3. Step 3: Cross multiply
    1,093.10x = 1,507.92 × 650.63
  4. Step 4: Simplify right side
    1,093.10x = 981,099.32
  5. Step 5: Solve for x
    x = 981,099.32/1,093.10
  6. Step 6: Final answer
    x = 897.54

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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.