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Finding the Fourth Proportional to 825.09, 1,237.76 and 277.14

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Solution

The fourth proportional to 825.09, 1,237.76 and 277.14 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.09 : 1,237.76 = 277.14 : x
  2. Step 2: Convert to fraction form
    825.09/1,237.76 = 277.14/x
  3. Step 3: Cross multiply
    825.09x = 1,237.76 × 277.14
  4. Step 4: Simplify right side
    825.09x = 343,032.81
  5. Step 5: Solve for x
    x = 343,032.81/825.09
  6. Step 6: Final answer
    x = 415.75

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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.