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Finding the Fourth Proportional to 850.42, 1,165.96 and 849.06

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Solution

The fourth proportional to 850.42, 1,165.96 and 849.06 is: 1,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.42 : 1,165.96 = 849.06 : x
  2. Step 2: Convert to fraction form
    850.42/1,165.96 = 849.06/x
  3. Step 3: Cross multiply
    850.42x = 1,165.96 × 849.06
  4. Step 4: Simplify right side
    850.42x = 989,970.00
  5. Step 5: Solve for x
    x = 989,970.00/850.42
  6. Step 6: Final answer
    x = 1,164.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.