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Finding the Fourth Proportional to 825.27, 1,237.73 and 386.25

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Solution

The fourth proportional to 825.27, 1,237.73 and 386.25 is: 579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.27 : 1,237.73 = 386.25 : x
  2. Step 2: Convert to fraction form
    825.27/1,237.73 = 386.25/x
  3. Step 3: Cross multiply
    825.27x = 1,237.73 × 386.25
  4. Step 4: Simplify right side
    825.27x = 478,071.28
  5. Step 5: Solve for x
    x = 478,071.28/825.27
  6. Step 6: Final answer
    x = 579.29

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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.