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Finding the Fourth Proportional to 691.77, 1,037.65 and 204.86

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Solution

The fourth proportional to 691.77, 1,037.65 and 204.86 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.77 : 1,037.65 = 204.86 : x
  2. Step 2: Convert to fraction form
    691.77/1,037.65 = 204.86/x
  3. Step 3: Cross multiply
    691.77x = 1,037.65 × 204.86
  4. Step 4: Simplify right side
    691.77x = 212,567.28
  5. Step 5: Solve for x
    x = 212,567.28/691.77
  6. Step 6: Final answer
    x = 307.28

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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.