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Finding the Fourth Proportional to 691.64, 1,037.24 and 366.82

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Solution

The fourth proportional to 691.64, 1,037.24 and 366.82 is: 550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.64 : 1,037.24 = 366.82 : x
  2. Step 2: Convert to fraction form
    691.64/1,037.24 = 366.82/x
  3. Step 3: Cross multiply
    691.64x = 1,037.24 × 366.82
  4. Step 4: Simplify right side
    691.64x = 380,480.38
  5. Step 5: Solve for x
    x = 380,480.38/691.64
  6. Step 6: Final answer
    x = 550.11

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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.