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Finding the Fourth Proportional to 840.54, 1,261.08 and 493.80

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Solution

The fourth proportional to 840.54, 1,261.08 and 493.80 is: 740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,261.08 = 493.80 : x
  2. Step 2: Convert to fraction form
    840.54/1,261.08 = 493.80/x
  3. Step 3: Cross multiply
    840.54x = 1,261.08 × 493.80
  4. Step 4: Simplify right side
    840.54x = 622,721.30
  5. Step 5: Solve for x
    x = 622,721.30/840.54
  6. Step 6: Final answer
    x = 740.86

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Why These Related Problems?

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