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Finding the Fourth Proportional to 735.51, 1,015.37 and 676.22

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Solution

The fourth proportional to 735.51, 1,015.37 and 676.22 is: 933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.51 : 1,015.37 = 676.22 : x
  2. Step 2: Convert to fraction form
    735.51/1,015.37 = 676.22/x
  3. Step 3: Cross multiply
    735.51x = 1,015.37 × 676.22
  4. Step 4: Simplify right side
    735.51x = 686,607.58
  5. Step 5: Solve for x
    x = 686,607.58/735.51
  6. Step 6: Final answer
    x = 933.51

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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.