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Finding the Fourth Proportional to 1,511.49, 2,267.34 and 633.66

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Solution

The fourth proportional to 1,511.49, 2,267.34 and 633.66 is: 950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.49 : 2,267.34 = 633.66 : x
  2. Step 2: Convert to fraction form
    1,511.49/2,267.34 = 633.66/x
  3. Step 3: Cross multiply
    1,511.49x = 2,267.34 × 633.66
  4. Step 4: Simplify right side
    1,511.49x = 1,436,722.66
  5. Step 5: Solve for x
    x = 1,436,722.66/1,511.49
  6. Step 6: Final answer
    x = 950.53

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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.