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Finding the Fourth Proportional to 1,363.77, 2,046.46 and 747.36

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Solution

The fourth proportional to 1,363.77, 2,046.46 and 747.36 is: 1,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.77 : 2,046.46 = 747.36 : x
  2. Step 2: Convert to fraction form
    1,363.77/2,046.46 = 747.36/x
  3. Step 3: Cross multiply
    1,363.77x = 2,046.46 × 747.36
  4. Step 4: Simplify right side
    1,363.77x = 1,529,442.35
  5. Step 5: Solve for x
    x = 1,529,442.35/1,363.77
  6. Step 6: Final answer
    x = 1,121.48

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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.