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Finding the Fourth Proportional to 691.22, 946.41 and 688.79

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Solution

The fourth proportional to 691.22, 946.41 and 688.79 is: 943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.22 : 946.41 = 688.79 : x
  2. Step 2: Convert to fraction form
    691.22/946.41 = 688.79/x
  3. Step 3: Cross multiply
    691.22x = 946.41 × 688.79
  4. Step 4: Simplify right side
    691.22x = 651,874.30
  5. Step 5: Solve for x
    x = 651,874.30/691.22
  6. Step 6: Final answer
    x = 943.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.