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Finding the Fourth Proportional to 735.67, 1,097.02 and 633.61

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Solution

The fourth proportional to 735.67, 1,097.02 and 633.61 is: 944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.67 : 1,097.02 = 633.61 : x
  2. Step 2: Convert to fraction form
    735.67/1,097.02 = 633.61/x
  3. Step 3: Cross multiply
    735.67x = 1,097.02 × 633.61
  4. Step 4: Simplify right side
    735.67x = 695,082.84
  5. Step 5: Solve for x
    x = 695,082.84/735.67
  6. Step 6: Final answer
    x = 944.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.