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Finding the Fourth Proportional to 735.82, 1,102.62 and 666.36

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Solution

The fourth proportional to 735.82, 1,102.62 and 666.36 is: 998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.82 : 1,102.62 = 666.36 : x
  2. Step 2: Convert to fraction form
    735.82/1,102.62 = 666.36/x
  3. Step 3: Cross multiply
    735.82x = 1,102.62 × 666.36
  4. Step 4: Simplify right side
    735.82x = 734,735.77
  5. Step 5: Solve for x
    x = 734,735.77/735.82
  6. Step 6: Final answer
    x = 998.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.