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Finding the Fourth Proportional to 786.21, 1,085.37 and 608.77

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Solution

The fourth proportional to 786.21, 1,085.37 and 608.77 is: 840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.21 : 1,085.37 = 608.77 : x
  2. Step 2: Convert to fraction form
    786.21/1,085.37 = 608.77/x
  3. Step 3: Cross multiply
    786.21x = 1,085.37 × 608.77
  4. Step 4: Simplify right side
    786.21x = 660,743.19
  5. Step 5: Solve for x
    x = 660,743.19/786.21
  6. Step 6: Final answer
    x = 840.41

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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.