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Finding the Fourth Proportional to 850.85, 1,275.25 and 388.00

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Solution

The fourth proportional to 850.85, 1,275.25 and 388.00 is: 581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.85 : 1,275.25 = 388.00 : x
  2. Step 2: Convert to fraction form
    850.85/1,275.25 = 388.00/x
  3. Step 3: Cross multiply
    850.85x = 1,275.25 × 388.00
  4. Step 4: Simplify right side
    850.85x = 494,788.68
  5. Step 5: Solve for x
    x = 494,788.68/850.85
  6. Step 6: Final answer
    x = 581.52

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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.