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Finding the Fourth Proportional to 691.96, 1,037.94 and 205.05

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Solution

The fourth proportional to 691.96, 1,037.94 and 205.05 is: 307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.96 : 1,037.94 = 205.05 : x
  2. Step 2: Convert to fraction form
    691.96/1,037.94 = 205.05/x
  3. Step 3: Cross multiply
    691.96x = 1,037.94 × 205.05
  4. Step 4: Simplify right side
    691.96x = 212,830.30
  5. Step 5: Solve for x
    x = 212,830.30/691.96
  6. Step 6: Final answer
    x = 307.58

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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.