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Finding the Fourth Proportional to 778.44, 1,074.32 and 581.61

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Solution

The fourth proportional to 778.44, 1,074.32 and 581.61 is: 802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.44 : 1,074.32 = 581.61 : x
  2. Step 2: Convert to fraction form
    778.44/1,074.32 = 581.61/x
  3. Step 3: Cross multiply
    778.44x = 1,074.32 × 581.61
  4. Step 4: Simplify right side
    778.44x = 624,835.26
  5. Step 5: Solve for x
    x = 624,835.26/778.44
  6. Step 6: Final answer
    x = 802.68

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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.