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Finding the Fourth Proportional to 840.94, 1,261.25 and 313.74

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Solution

The fourth proportional to 840.94, 1,261.25 and 313.74 is: 470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.94 : 1,261.25 = 313.74 : x
  2. Step 2: Convert to fraction form
    840.94/1,261.25 = 313.74/x
  3. Step 3: Cross multiply
    840.94x = 1,261.25 × 313.74
  4. Step 4: Simplify right side
    840.94x = 395,704.58
  5. Step 5: Solve for x
    x = 395,704.58/840.94
  6. Step 6: Final answer
    x = 470.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.