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Finding the Fourth Proportional to 670.87, 1,006.14 and 259.84

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Solution

The fourth proportional to 670.87, 1,006.14 and 259.84 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.87 : 1,006.14 = 259.84 : x
  2. Step 2: Convert to fraction form
    670.87/1,006.14 = 259.84/x
  3. Step 3: Cross multiply
    670.87x = 1,006.14 × 259.84
  4. Step 4: Simplify right side
    670.87x = 261,430.39
  5. Step 5: Solve for x
    x = 261,430.39/670.87
  6. Step 6: Final answer
    x = 389.69

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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.