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Finding the Fourth Proportional to 1,215.29, 1,676.88 and 691.22

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Solution

The fourth proportional to 1,215.29, 1,676.88 and 691.22 is: 953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.29 : 1,676.88 = 691.22 : x
  2. Step 2: Convert to fraction form
    1,215.29/1,676.88 = 691.22/x
  3. Step 3: Cross multiply
    1,215.29x = 1,676.88 × 691.22
  4. Step 4: Simplify right side
    1,215.29x = 1,159,084.61
  5. Step 5: Solve for x
    x = 1,159,084.61/1,215.29
  6. Step 6: Final answer
    x = 953.76

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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.