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Finding the Fourth Proportional to 673.98, 930.87 and 596.22

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Solution

The fourth proportional to 673.98, 930.87 and 596.22 is: 823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.98 : 930.87 = 596.22 : x
  2. Step 2: Convert to fraction form
    673.98/930.87 = 596.22/x
  3. Step 3: Cross multiply
    673.98x = 930.87 × 596.22
  4. Step 4: Simplify right side
    673.98x = 555,003.31
  5. Step 5: Solve for x
    x = 555,003.31/673.98
  6. Step 6: Final answer
    x = 823.47

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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.