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Finding the Fourth Proportional to 840.52, 1,259.16 and 806.50

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Solution

The fourth proportional to 840.52, 1,259.16 and 806.50 is: 1,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.52 : 1,259.16 = 806.50 : x
  2. Step 2: Convert to fraction form
    840.52/1,259.16 = 806.50/x
  3. Step 3: Cross multiply
    840.52x = 1,259.16 × 806.50
  4. Step 4: Simplify right side
    840.52x = 1,015,512.54
  5. Step 5: Solve for x
    x = 1,015,512.54/840.52
  6. Step 6: Final answer
    x = 1,208.20

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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.