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Finding the Fourth Proportional to 850.25, 1,173.35 and 482.25

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Solution

The fourth proportional to 850.25, 1,173.35 and 482.25 is: 665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.25 : 1,173.35 = 482.25 : x
  2. Step 2: Convert to fraction form
    850.25/1,173.35 = 482.25/x
  3. Step 3: Cross multiply
    850.25x = 1,173.35 × 482.25
  4. Step 4: Simplify right side
    850.25x = 565,845.63
  5. Step 5: Solve for x
    x = 565,845.63/850.25
  6. Step 6: Final answer
    x = 665.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.