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Finding the Fourth Proportional to 1,016.07, 1,402.20 and 622.87

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Solution

The fourth proportional to 1,016.07, 1,402.20 and 622.87 is: 859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.07 : 1,402.20 = 622.87 : x
  2. Step 2: Convert to fraction form
    1,016.07/1,402.20 = 622.87/x
  3. Step 3: Cross multiply
    1,016.07x = 1,402.20 × 622.87
  4. Step 4: Simplify right side
    1,016.07x = 873,381.30
  5. Step 5: Solve for x
    x = 873,381.30/1,016.07
  6. Step 6: Final answer
    x = 859.57

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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.