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Finding the Fourth Proportional to 842.34, 1,161.72 and 580.35

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Solution

The fourth proportional to 842.34, 1,161.72 and 580.35 is: 800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.34 : 1,161.72 = 580.35 : x
  2. Step 2: Convert to fraction form
    842.34/1,161.72 = 580.35/x
  3. Step 3: Cross multiply
    842.34x = 1,161.72 × 580.35
  4. Step 4: Simplify right side
    842.34x = 674,204.20
  5. Step 5: Solve for x
    x = 674,204.20/842.34
  6. Step 6: Final answer
    x = 800.39

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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.