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Finding the Fourth Proportional to 671.10, 1,006.55 and 300.83

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Solution

The fourth proportional to 671.10, 1,006.55 and 300.83 is: 451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.10 : 1,006.55 = 300.83 : x
  2. Step 2: Convert to fraction form
    671.10/1,006.55 = 300.83/x
  3. Step 3: Cross multiply
    671.10x = 1,006.55 × 300.83
  4. Step 4: Simplify right side
    671.10x = 302,803.70
  5. Step 5: Solve for x
    x = 302,803.70/671.10
  6. Step 6: Final answer
    x = 451.20

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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.