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Finding the Fourth Proportional to 960.05, 1,323.74 and 628.36

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Solution

The fourth proportional to 960.05, 1,323.74 and 628.36 is: 866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.05 : 1,323.74 = 628.36 : x
  2. Step 2: Convert to fraction form
    960.05/1,323.74 = 628.36/x
  3. Step 3: Cross multiply
    960.05x = 1,323.74 × 628.36
  4. Step 4: Simplify right side
    960.05x = 831,783.53
  5. Step 5: Solve for x
    x = 831,783.53/960.05
  6. Step 6: Final answer
    x = 866.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.