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Finding the Fourth Proportional to 843.12, 1,271.07 and 790.34

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Solution

The fourth proportional to 843.12, 1,271.07 and 790.34 is: 1,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.12 : 1,271.07 = 790.34 : x
  2. Step 2: Convert to fraction form
    843.12/1,271.07 = 790.34/x
  3. Step 3: Cross multiply
    843.12x = 1,271.07 × 790.34
  4. Step 4: Simplify right side
    843.12x = 1,004,571.11
  5. Step 5: Solve for x
    x = 1,004,571.11/843.12
  6. Step 6: Final answer
    x = 1,191.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.