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Finding the Fourth Proportional to 1,328.43, 2,000.37 and 984.21

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Solution

The fourth proportional to 1,328.43, 2,000.37 and 984.21 is: 1,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.43 : 2,000.37 = 984.21 : x
  2. Step 2: Convert to fraction form
    1,328.43/2,000.37 = 984.21/x
  3. Step 3: Cross multiply
    1,328.43x = 2,000.37 × 984.21
  4. Step 4: Simplify right side
    1,328.43x = 1,968,772.97
  5. Step 5: Solve for x
    x = 1,968,772.97/1,328.43
  6. Step 6: Final answer
    x = 1,482.03

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1.5x scale

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.