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Finding the Fourth Proportional to 1,301.69, 1,796.28 and 712.23

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Solution

The fourth proportional to 1,301.69, 1,796.28 and 712.23 is: 982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.69 : 1,796.28 = 712.23 : x
  2. Step 2: Convert to fraction form
    1,301.69/1,796.28 = 712.23/x
  3. Step 3: Cross multiply
    1,301.69x = 1,796.28 × 712.23
  4. Step 4: Simplify right side
    1,301.69x = 1,279,364.50
  5. Step 5: Solve for x
    x = 1,279,364.50/1,301.69
  6. Step 6: Final answer
    x = 982.85

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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.