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Finding the Fourth Proportional to 1,105.50, 1,664.83 and 962.94

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Solution

The fourth proportional to 1,105.50, 1,664.83 and 962.94 is: 1,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.50 : 1,664.83 = 962.94 : x
  2. Step 2: Convert to fraction form
    1,105.50/1,664.83 = 962.94/x
  3. Step 3: Cross multiply
    1,105.50x = 1,664.83 × 962.94
  4. Step 4: Simplify right side
    1,105.50x = 1,603,119.47
  5. Step 5: Solve for x
    x = 1,603,119.47/1,105.50
  6. Step 6: Final answer
    x = 1,450.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.