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Finding the Fourth Proportional to 1,511.35, 2,267.39 and 633.37

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Solution

The fourth proportional to 1,511.35, 2,267.39 and 633.37 is: 950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.35 : 2,267.39 = 633.37 : x
  2. Step 2: Convert to fraction form
    1,511.35/2,267.39 = 633.37/x
  3. Step 3: Cross multiply
    1,511.35x = 2,267.39 × 633.37
  4. Step 4: Simplify right side
    1,511.35x = 1,436,087.97
  5. Step 5: Solve for x
    x = 1,436,087.97/1,511.35
  6. Step 6: Final answer
    x = 950.20

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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.