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Finding the Fourth Proportional to 682.83, 1,022.34 and 497.94

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Solution

The fourth proportional to 682.83, 1,022.34 and 497.94 is: 745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 1,022.34 = 497.94 : x
  2. Step 2: Convert to fraction form
    682.83/1,022.34 = 497.94/x
  3. Step 3: Cross multiply
    682.83x = 1,022.34 × 497.94
  4. Step 4: Simplify right side
    682.83x = 509,063.98
  5. Step 5: Solve for x
    x = 509,063.98/682.83
  6. Step 6: Final answer
    x = 745.52

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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.