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Finding the Fourth Proportional to 850.05, 1,176.53 and 828.45

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Solution

The fourth proportional to 850.05, 1,176.53 and 828.45 is: 1,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.05 : 1,176.53 = 828.45 : x
  2. Step 2: Convert to fraction form
    850.05/1,176.53 = 828.45/x
  3. Step 3: Cross multiply
    850.05x = 1,176.53 × 828.45
  4. Step 4: Simplify right side
    850.05x = 974,692.14
  5. Step 5: Solve for x
    x = 974,692.14/850.05
  6. Step 6: Final answer
    x = 1,146.63

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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.