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Finding the Fourth Proportional to 749.05, 1,033.10 and 650.63

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Solution

The fourth proportional to 749.05, 1,033.10 and 650.63 is: 897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.05 : 1,033.10 = 650.63 : x
  2. Step 2: Convert to fraction form
    749.05/1,033.10 = 650.63/x
  3. Step 3: Cross multiply
    749.05x = 1,033.10 × 650.63
  4. Step 4: Simplify right side
    749.05x = 672,165.85
  5. Step 5: Solve for x
    x = 672,165.85/749.05
  6. Step 6: Final answer
    x = 897.36

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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.