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Finding the Fourth Proportional to 845.43, 1,267.68 and 433.54

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Solution

The fourth proportional to 845.43, 1,267.68 and 433.54 is: 650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.43 : 1,267.68 = 433.54 : x
  2. Step 2: Convert to fraction form
    845.43/1,267.68 = 433.54/x
  3. Step 3: Cross multiply
    845.43x = 1,267.68 × 433.54
  4. Step 4: Simplify right side
    845.43x = 549,589.99
  5. Step 5: Solve for x
    x = 549,589.99/845.43
  6. Step 6: Final answer
    x = 650.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.