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Finding the Fourth Proportional to 1,422.45, 2,134.32 and 642.03

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Solution

The fourth proportional to 1,422.45, 2,134.32 and 642.03 is: 963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.45 : 2,134.32 = 642.03 : x
  2. Step 2: Convert to fraction form
    1,422.45/2,134.32 = 642.03/x
  3. Step 3: Cross multiply
    1,422.45x = 2,134.32 × 642.03
  4. Step 4: Simplify right side
    1,422.45x = 1,370,297.47
  5. Step 5: Solve for x
    x = 1,370,297.47/1,422.45
  6. Step 6: Final answer
    x = 963.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.