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Finding the Fourth Proportional to 670.92, 1,006.23 and 259.92

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Solution

The fourth proportional to 670.92, 1,006.23 and 259.92 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.92 : 1,006.23 = 259.92 : x
  2. Step 2: Convert to fraction form
    670.92/1,006.23 = 259.92/x
  3. Step 3: Cross multiply
    670.92x = 1,006.23 × 259.92
  4. Step 4: Simplify right side
    670.92x = 261,539.30
  5. Step 5: Solve for x
    x = 261,539.30/670.92
  6. Step 6: Final answer
    x = 389.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.