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Finding the Fourth Proportional to 671.64, 1,006.62 and 286.44

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Solution

The fourth proportional to 671.64, 1,006.62 and 286.44 is: 429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.64 : 1,006.62 = 286.44 : x
  2. Step 2: Convert to fraction form
    671.64/1,006.62 = 286.44/x
  3. Step 3: Cross multiply
    671.64x = 1,006.62 × 286.44
  4. Step 4: Simplify right side
    671.64x = 288,336.23
  5. Step 5: Solve for x
    x = 288,336.23/671.64
  6. Step 6: Final answer
    x = 429.30

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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.