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Finding the Fourth Proportional to 840.68, 1,261.37 and 401.71

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Solution

The fourth proportional to 840.68, 1,261.37 and 401.71 is: 602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.68 : 1,261.37 = 401.71 : x
  2. Step 2: Convert to fraction form
    840.68/1,261.37 = 401.71/x
  3. Step 3: Cross multiply
    840.68x = 1,261.37 × 401.71
  4. Step 4: Simplify right side
    840.68x = 506,705.16
  5. Step 5: Solve for x
    x = 506,705.16/840.68
  6. Step 6: Final answer
    x = 602.73

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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.