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Finding the Fourth Proportional to 840.96, 1,261.41 and 408

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Solution

The fourth proportional to 840.96, 1,261.41 and 408 is: 611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.96 : 1,261.41 = 408 : x
  2. Step 2: Convert to fraction form
    840.96/1,261.41 = 408/x
  3. Step 3: Cross multiply
    840.96x = 1,261.41 × 408
  4. Step 4: Simplify right side
    840.96x = 514,655.28
  5. Step 5: Solve for x
    x = 514,655.28/840.96
  6. Step 6: Final answer
    x = 611.99

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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.