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Finding the Fourth Proportional to 840.98, 1,260.32 and 635.38

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Solution

The fourth proportional to 840.98, 1,260.32 and 635.38 is: 952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.98 : 1,260.32 = 635.38 : x
  2. Step 2: Convert to fraction form
    840.98/1,260.32 = 635.38/x
  3. Step 3: Cross multiply
    840.98x = 1,260.32 × 635.38
  4. Step 4: Simplify right side
    840.98x = 800,782.12
  5. Step 5: Solve for x
    x = 800,782.12/840.98
  6. Step 6: Final answer
    x = 952.20

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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.