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Finding the Fourth Proportional to 735.97, 1,010.23 and 651.23

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Solution

The fourth proportional to 735.97, 1,010.23 and 651.23 is: 893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.97 : 1,010.23 = 651.23 : x
  2. Step 2: Convert to fraction form
    735.97/1,010.23 = 651.23/x
  3. Step 3: Cross multiply
    735.97x = 1,010.23 × 651.23
  4. Step 4: Simplify right side
    735.97x = 657,892.08
  5. Step 5: Solve for x
    x = 657,892.08/735.97
  6. Step 6: Final answer
    x = 893.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.