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Finding the Fourth Proportional to 969.92, 1,452.12 and 644.64

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Solution

The fourth proportional to 969.92, 1,452.12 and 644.64 is: 965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.92 : 1,452.12 = 644.64 : x
  2. Step 2: Convert to fraction form
    969.92/1,452.12 = 644.64/x
  3. Step 3: Cross multiply
    969.92x = 1,452.12 × 644.64
  4. Step 4: Simplify right side
    969.92x = 936,094.64
  5. Step 5: Solve for x
    x = 936,094.64/969.92
  6. Step 6: Final answer
    x = 965.13

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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.