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Finding the Fourth Proportional to 1,048.93, 1,447.27 and 676.03

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Solution

The fourth proportional to 1,048.93, 1,447.27 and 676.03 is: 932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.93 : 1,447.27 = 676.03 : x
  2. Step 2: Convert to fraction form
    1,048.93/1,447.27 = 676.03/x
  3. Step 3: Cross multiply
    1,048.93x = 1,447.27 × 676.03
  4. Step 4: Simplify right side
    1,048.93x = 978,397.94
  5. Step 5: Solve for x
    x = 978,397.94/1,048.93
  6. Step 6: Final answer
    x = 932.76

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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.