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Finding the Fourth Proportional to 622.49, 856.98 and 581.12

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Solution

The fourth proportional to 622.49, 856.98 and 581.12 is: 800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.49 : 856.98 = 581.12 : x
  2. Step 2: Convert to fraction form
    622.49/856.98 = 581.12/x
  3. Step 3: Cross multiply
    622.49x = 856.98 × 581.12
  4. Step 4: Simplify right side
    622.49x = 498,011.97
  5. Step 5: Solve for x
    x = 498,011.97/622.49
  6. Step 6: Final answer
    x = 800.04

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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.