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Finding the Fourth Proportional to 1,301.99, 1,796.75 and 704.48

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Solution

The fourth proportional to 1,301.99, 1,796.75 and 704.48 is: 972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.99 : 1,796.75 = 704.48 : x
  2. Step 2: Convert to fraction form
    1,301.99/1,796.75 = 704.48/x
  3. Step 3: Cross multiply
    1,301.99x = 1,796.75 × 704.48
  4. Step 4: Simplify right side
    1,301.99x = 1,265,780.69
  5. Step 5: Solve for x
    x = 1,265,780.69/1,301.99
  6. Step 6: Final answer
    x = 972.19

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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.