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Finding the Fourth Proportional to 691.87, 1,037.82 and 229.67

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Solution

The fourth proportional to 691.87, 1,037.82 and 229.67 is: 344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.87 : 1,037.82 = 229.67 : x
  2. Step 2: Convert to fraction form
    691.87/1,037.82 = 229.67/x
  3. Step 3: Cross multiply
    691.87x = 1,037.82 × 229.67
  4. Step 4: Simplify right side
    691.87x = 238,356.12
  5. Step 5: Solve for x
    x = 238,356.12/691.87
  6. Step 6: Final answer
    x = 344.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.