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Finding the Fourth Proportional to 840.27, 1,259.63 and 531.23

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Solution

The fourth proportional to 840.27, 1,259.63 and 531.23 is: 796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.27 : 1,259.63 = 531.23 : x
  2. Step 2: Convert to fraction form
    840.27/1,259.63 = 531.23/x
  3. Step 3: Cross multiply
    840.27x = 1,259.63 × 531.23
  4. Step 4: Simplify right side
    840.27x = 669,144.29
  5. Step 5: Solve for x
    x = 669,144.29/840.27
  6. Step 6: Final answer
    x = 796.34

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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.