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Finding the Fourth Proportional to 840.80, 1,259.58 and 408.26

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Solution

The fourth proportional to 840.80, 1,259.58 and 408.26 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.80 : 1,259.58 = 408.26 : x
  2. Step 2: Convert to fraction form
    840.80/1,259.58 = 408.26/x
  3. Step 3: Cross multiply
    840.80x = 1,259.58 × 408.26
  4. Step 4: Simplify right side
    840.80x = 514,240.81
  5. Step 5: Solve for x
    x = 514,240.81/840.80
  6. Step 6: Final answer
    x = 611.61

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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.