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Finding the Fourth Proportional to 1,215.01, 1,676.86 and 684.09

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Solution

The fourth proportional to 1,215.01, 1,676.86 and 684.09 is: 944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.01 : 1,676.86 = 684.09 : x
  2. Step 2: Convert to fraction form
    1,215.01/1,676.86 = 684.09/x
  3. Step 3: Cross multiply
    1,215.01x = 1,676.86 × 684.09
  4. Step 4: Simplify right side
    1,215.01x = 1,147,121.45
  5. Step 5: Solve for x
    x = 1,147,121.45/1,215.01
  6. Step 6: Final answer
    x = 944.13

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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.