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Finding the Fourth Proportional to 786.85, 1,085.88 and 450.81

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Solution

The fourth proportional to 786.85, 1,085.88 and 450.81 is: 622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.85 : 1,085.88 = 450.81 : x
  2. Step 2: Convert to fraction form
    786.85/1,085.88 = 450.81/x
  3. Step 3: Cross multiply
    786.85x = 1,085.88 × 450.81
  4. Step 4: Simplify right side
    786.85x = 489,525.56
  5. Step 5: Solve for x
    x = 489,525.56/786.85
  6. Step 6: Final answer
    x = 622.13

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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.