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Finding the Fourth Proportional to 691.86, 953.46 and 676.20

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Solution

The fourth proportional to 691.86, 953.46 and 676.20 is: 931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 953.46 = 676.20 : x
  2. Step 2: Convert to fraction form
    691.86/953.46 = 676.20/x
  3. Step 3: Cross multiply
    691.86x = 953.46 × 676.20
  4. Step 4: Simplify right side
    691.86x = 644,729.65
  5. Step 5: Solve for x
    x = 644,729.65/691.86
  6. Step 6: Final answer
    x = 931.88

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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.