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Finding the Fourth Proportional to 1,193.94, 1,792.44 and 920.22

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Solution

The fourth proportional to 1,193.94, 1,792.44 and 920.22 is: 1,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.94 : 1,792.44 = 920.22 : x
  2. Step 2: Convert to fraction form
    1,193.94/1,792.44 = 920.22/x
  3. Step 3: Cross multiply
    1,193.94x = 1,792.44 × 920.22
  4. Step 4: Simplify right side
    1,193.94x = 1,649,439.14
  5. Step 5: Solve for x
    x = 1,649,439.14/1,193.94
  6. Step 6: Final answer
    x = 1,381.51

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1.5x scale

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.