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Finding the Fourth Proportional to 1,231.26, 1,846.98 and 365.64

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Solution

The fourth proportional to 1,231.26, 1,846.98 and 365.64 is: 548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.26 : 1,846.98 = 365.64 : x
  2. Step 2: Convert to fraction form
    1,231.26/1,846.98 = 365.64/x
  3. Step 3: Cross multiply
    1,231.26x = 1,846.98 × 365.64
  4. Step 4: Simplify right side
    1,231.26x = 675,329.77
  5. Step 5: Solve for x
    x = 675,329.77/1,231.26
  6. Step 6: Final answer
    x = 548.49

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Double scale
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1.5x scale

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.