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Finding the Fourth Proportional to 1,301.82, 1,796.51 and 712.36

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Solution

The fourth proportional to 1,301.82, 1,796.51 and 712.36 is: 983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.82 : 1,796.51 = 712.36 : x
  2. Step 2: Convert to fraction form
    1,301.82/1,796.51 = 712.36/x
  3. Step 3: Cross multiply
    1,301.82x = 1,796.51 × 712.36
  4. Step 4: Simplify right side
    1,301.82x = 1,279,753.81
  5. Step 5: Solve for x
    x = 1,279,753.81/1,301.82
  6. Step 6: Final answer
    x = 983.05

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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.