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Finding the Fourth Proportional to 835.88, 1,254.02 and 258.75

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Solution

The fourth proportional to 835.88, 1,254.02 and 258.75 is: 388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.88 : 1,254.02 = 258.75 : x
  2. Step 2: Convert to fraction form
    835.88/1,254.02 = 258.75/x
  3. Step 3: Cross multiply
    835.88x = 1,254.02 × 258.75
  4. Step 4: Simplify right side
    835.88x = 324,476.38
  5. Step 5: Solve for x
    x = 324,476.38/835.88
  6. Step 6: Final answer
    x = 388.19

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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.