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Finding the Fourth Proportional to 783.22, 1,170.73 and 713.51

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Solution

The fourth proportional to 783.22, 1,170.73 and 713.51 is: 1,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.22 : 1,170.73 = 713.51 : x
  2. Step 2: Convert to fraction form
    783.22/1,170.73 = 713.51/x
  3. Step 3: Cross multiply
    783.22x = 1,170.73 × 713.51
  4. Step 4: Simplify right side
    783.22x = 835,324.98
  5. Step 5: Solve for x
    x = 835,324.98/783.22
  6. Step 6: Final answer
    x = 1,066.53

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