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Finding the Fourth Proportional to 673.82, 930.11 and 496.99

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Solution

The fourth proportional to 673.82, 930.11 and 496.99 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.82 : 930.11 = 496.99 : x
  2. Step 2: Convert to fraction form
    673.82/930.11 = 496.99/x
  3. Step 3: Cross multiply
    673.82x = 930.11 × 496.99
  4. Step 4: Simplify right side
    673.82x = 462,255.37
  5. Step 5: Solve for x
    x = 462,255.37/673.82
  6. Step 6: Final answer
    x = 686.02

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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.