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Finding the Fourth Proportional to 845.34, 1,266.20 and 411.60

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Solution

The fourth proportional to 845.34, 1,266.20 and 411.60 is: 616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.34 : 1,266.20 = 411.60 : x
  2. Step 2: Convert to fraction form
    845.34/1,266.20 = 411.60/x
  3. Step 3: Cross multiply
    845.34x = 1,266.20 × 411.60
  4. Step 4: Simplify right side
    845.34x = 521,167.92
  5. Step 5: Solve for x
    x = 521,167.92/845.34
  6. Step 6: Final answer
    x = 616.52

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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.