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Finding the Fourth Proportional to 840.75, 1,260.06 and 475.75

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Solution

The fourth proportional to 840.75, 1,260.06 and 475.75 is: 713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.75 : 1,260.06 = 475.75 : x
  2. Step 2: Convert to fraction form
    840.75/1,260.06 = 475.75/x
  3. Step 3: Cross multiply
    840.75x = 1,260.06 × 475.75
  4. Step 4: Simplify right side
    840.75x = 599,473.55
  5. Step 5: Solve for x
    x = 599,473.55/840.75
  6. Step 6: Final answer
    x = 713.02

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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.