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Finding the Fourth Proportional to 671.72, 1,007.74 and 287

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Solution

The fourth proportional to 671.72, 1,007.74 and 287 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.72 : 1,007.74 = 287 : x
  2. Step 2: Convert to fraction form
    671.72/1,007.74 = 287/x
  3. Step 3: Cross multiply
    671.72x = 1,007.74 × 287
  4. Step 4: Simplify right side
    671.72x = 289,221.38
  5. Step 5: Solve for x
    x = 289,221.38/671.72
  6. Step 6: Final answer
    x = 430.57

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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.