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Finding the Fourth Proportional to 955.14, 1,425.79 and 825.94

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Solution

The fourth proportional to 955.14, 1,425.79 and 825.94 is: 1,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.14 : 1,425.79 = 825.94 : x
  2. Step 2: Convert to fraction form
    955.14/1,425.79 = 825.94/x
  3. Step 3: Cross multiply
    955.14x = 1,425.79 × 825.94
  4. Step 4: Simplify right side
    955.14x = 1,177,619.81
  5. Step 5: Solve for x
    x = 1,177,619.81/955.14
  6. Step 6: Final answer
    x = 1,232.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.