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Finding the Fourth Proportional to 1,016.12, 1,401.90 and 622.84

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Solution

The fourth proportional to 1,016.12, 1,401.90 and 622.84 is: 859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.12 : 1,401.90 = 622.84 : x
  2. Step 2: Convert to fraction form
    1,016.12/1,401.90 = 622.84/x
  3. Step 3: Cross multiply
    1,016.12x = 1,401.90 × 622.84
  4. Step 4: Simplify right side
    1,016.12x = 873,159.40
  5. Step 5: Solve for x
    x = 873,159.40/1,016.12
  6. Step 6: Final answer
    x = 859.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.