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Finding the Fourth Proportional to 1,016.64, 1,401.42 and 622.98

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Solution

The fourth proportional to 1,016.64, 1,401.42 and 622.98 is: 858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.64 : 1,401.42 = 622.98 : x
  2. Step 2: Convert to fraction form
    1,016.64/1,401.42 = 622.98/x
  3. Step 3: Cross multiply
    1,016.64x = 1,401.42 × 622.98
  4. Step 4: Simplify right side
    1,016.64x = 873,056.63
  5. Step 5: Solve for x
    x = 873,056.63/1,016.64
  6. Step 6: Final answer
    x = 858.77

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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.