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Finding the Fourth Proportional to 840.27, 1,260.54 and 475.23

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Solution

The fourth proportional to 840.27, 1,260.54 and 475.23 is: 712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.27 : 1,260.54 = 475.23 : x
  2. Step 2: Convert to fraction form
    840.27/1,260.54 = 475.23/x
  3. Step 3: Cross multiply
    840.27x = 1,260.54 × 475.23
  4. Step 4: Simplify right side
    840.27x = 599,046.42
  5. Step 5: Solve for x
    x = 599,046.42/840.27
  6. Step 6: Final answer
    x = 712.92

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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.