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Finding the Fourth Proportional to 1,214.49, 1,676.19 and 772.54

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Solution

The fourth proportional to 1,214.49, 1,676.19 and 772.54 is: 1,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.49 : 1,676.19 = 772.54 : x
  2. Step 2: Convert to fraction form
    1,214.49/1,676.19 = 772.54/x
  3. Step 3: Cross multiply
    1,214.49x = 1,676.19 × 772.54
  4. Step 4: Simplify right side
    1,214.49x = 1,294,923.82
  5. Step 5: Solve for x
    x = 1,294,923.82/1,214.49
  6. Step 6: Final answer
    x = 1,066.23

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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.