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Finding the Fourth Proportional to 671.68, 1,006.88 and 286.72

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Solution

The fourth proportional to 671.68, 1,006.88 and 286.72 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.68 : 1,006.88 = 286.72 : x
  2. Step 2: Convert to fraction form
    671.68/1,006.88 = 286.72/x
  3. Step 3: Cross multiply
    671.68x = 1,006.88 × 286.72
  4. Step 4: Simplify right side
    671.68x = 288,692.63
  5. Step 5: Solve for x
    x = 288,692.63/671.68
  6. Step 6: Final answer
    x = 429.81

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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.