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Finding the Fourth Proportional to 1,215.15, 1,676.91 and 691.21

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Solution

The fourth proportional to 1,215.15, 1,676.91 and 691.21 is: 953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.15 : 1,676.91 = 691.21 : x
  2. Step 2: Convert to fraction form
    1,215.15/1,676.91 = 691.21/x
  3. Step 3: Cross multiply
    1,215.15x = 1,676.91 × 691.21
  4. Step 4: Simplify right side
    1,215.15x = 1,159,096.96
  5. Step 5: Solve for x
    x = 1,159,096.96/1,215.15
  6. Step 6: Final answer
    x = 953.87

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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.