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Finding the Fourth Proportional to 850.76, 1,173.78 and 519.20

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Solution

The fourth proportional to 850.76, 1,173.78 and 519.20 is: 716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.76 : 1,173.78 = 519.20 : x
  2. Step 2: Convert to fraction form
    850.76/1,173.78 = 519.20/x
  3. Step 3: Cross multiply
    850.76x = 1,173.78 × 519.20
  4. Step 4: Simplify right side
    850.76x = 609,426.58
  5. Step 5: Solve for x
    x = 609,426.58/850.76
  6. Step 6: Final answer
    x = 716.33

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1.5x scale

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.