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Finding the Fourth Proportional to 778.41, 1,157.96 and 770.58

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Solution

The fourth proportional to 778.41, 1,157.96 and 770.58 is: 1,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.41 : 1,157.96 = 770.58 : x
  2. Step 2: Convert to fraction form
    778.41/1,157.96 = 770.58/x
  3. Step 3: Cross multiply
    778.41x = 1,157.96 × 770.58
  4. Step 4: Simplify right side
    778.41x = 892,302.74
  5. Step 5: Solve for x
    x = 892,302.74/778.41
  6. Step 6: Final answer
    x = 1,146.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.