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Finding the Fourth Proportional to 735.15, 1,012.32 and 629.46

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Solution

The fourth proportional to 735.15, 1,012.32 and 629.46 is: 866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.15 : 1,012.32 = 629.46 : x
  2. Step 2: Convert to fraction form
    735.15/1,012.32 = 629.46/x
  3. Step 3: Cross multiply
    735.15x = 1,012.32 × 629.46
  4. Step 4: Simplify right side
    735.15x = 637,214.95
  5. Step 5: Solve for x
    x = 637,214.95/735.15
  6. Step 6: Final answer
    x = 866.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.