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Finding the Fourth Proportional to 968.08, 1,450.12 and 643.60

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Solution

The fourth proportional to 968.08, 1,450.12 and 643.60 is: 964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.08 : 1,450.12 = 643.60 : x
  2. Step 2: Convert to fraction form
    968.08/1,450.12 = 643.60/x
  3. Step 3: Cross multiply
    968.08x = 1,450.12 × 643.60
  4. Step 4: Simplify right side
    968.08x = 933,297.23
  5. Step 5: Solve for x
    x = 933,297.23/968.08
  6. Step 6: Final answer
    x = 964.07

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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.