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Finding the Fourth Proportional to 1,422.05, 2,133.36 and 600.32

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Solution

The fourth proportional to 1,422.05, 2,133.36 and 600.32 is: 900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.05 : 2,133.36 = 600.32 : x
  2. Step 2: Convert to fraction form
    1,422.05/2,133.36 = 600.32/x
  3. Step 3: Cross multiply
    1,422.05x = 2,133.36 × 600.32
  4. Step 4: Simplify right side
    1,422.05x = 1,280,698.68
  5. Step 5: Solve for x
    x = 1,280,698.68/1,422.05
  6. Step 6: Final answer
    x = 900.60

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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.