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Finding the Fourth Proportional to 1,016.04, 1,401.24 and 622.92

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Solution

The fourth proportional to 1,016.04, 1,401.24 and 622.92 is: 859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.04 : 1,401.24 = 622.92 : x
  2. Step 2: Convert to fraction form
    1,016.04/1,401.24 = 622.92/x
  3. Step 3: Cross multiply
    1,016.04x = 1,401.24 × 622.92
  4. Step 4: Simplify right side
    1,016.04x = 872,860.42
  5. Step 5: Solve for x
    x = 872,860.42/1,016.04
  6. Step 6: Final answer
    x = 859.08

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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.