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Finding the Fourth Proportional to 914.35, 1,261.79 and 494.70

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Solution

The fourth proportional to 914.35, 1,261.79 and 494.70 is: 682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.35 : 1,261.79 = 494.70 : x
  2. Step 2: Convert to fraction form
    914.35/1,261.79 = 494.70/x
  3. Step 3: Cross multiply
    914.35x = 1,261.79 × 494.70
  4. Step 4: Simplify right side
    914.35x = 624,202.44
  5. Step 5: Solve for x
    x = 624,202.44/914.35
  6. Step 6: Final answer
    x = 682.68

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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.