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Finding the Fourth Proportional to 1,146.20, 1,581.73 and 622.22

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Solution

The fourth proportional to 1,146.20, 1,581.73 and 622.22 is: 858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.20 : 1,581.73 = 622.22 : x
  2. Step 2: Convert to fraction form
    1,146.20/1,581.73 = 622.22/x
  3. Step 3: Cross multiply
    1,146.20x = 1,581.73 × 622.22
  4. Step 4: Simplify right side
    1,146.20x = 984,184.04
  5. Step 5: Solve for x
    x = 984,184.04/1,146.20
  6. Step 6: Final answer
    x = 858.65

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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.