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Finding the Fourth Proportional to 1,006.46, 1,511.85 and 747.26

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Solution

The fourth proportional to 1,006.46, 1,511.85 and 747.26 is: 1,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.46 : 1,511.85 = 747.26 : x
  2. Step 2: Convert to fraction form
    1,006.46/1,511.85 = 747.26/x
  3. Step 3: Cross multiply
    1,006.46x = 1,511.85 × 747.26
  4. Step 4: Simplify right side
    1,006.46x = 1,129,745.03
  5. Step 5: Solve for x
    x = 1,129,745.03/1,006.46
  6. Step 6: Final answer
    x = 1,122.49

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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.