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Finding the Fourth Proportional to 1,380.36, 1,906.26 and 883.23

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Solution

The fourth proportional to 1,380.36, 1,906.26 and 883.23 is: 1,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.36 : 1,906.26 = 883.23 : x
  2. Step 2: Convert to fraction form
    1,380.36/1,906.26 = 883.23/x
  3. Step 3: Cross multiply
    1,380.36x = 1,906.26 × 883.23
  4. Step 4: Simplify right side
    1,380.36x = 1,683,666.02
  5. Step 5: Solve for x
    x = 1,683,666.02/1,380.36
  6. Step 6: Final answer
    x = 1,219.73

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1.5x scale

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.