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Finding the Fourth Proportional to 840.25, 1,259.09 and 353.03

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Solution

The fourth proportional to 840.25, 1,259.09 and 353.03 is: 529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.25 : 1,259.09 = 353.03 : x
  2. Step 2: Convert to fraction form
    840.25/1,259.09 = 353.03/x
  3. Step 3: Cross multiply
    840.25x = 1,259.09 × 353.03
  4. Step 4: Simplify right side
    840.25x = 444,497.93
  5. Step 5: Solve for x
    x = 444,497.93/840.25
  6. Step 6: Final answer
    x = 529.01

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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.