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Finding the Fourth Proportional to 839.59, 1,158.78 and 490.21

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Solution

The fourth proportional to 839.59, 1,158.78 and 490.21 is: 676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.59 : 1,158.78 = 490.21 : x
  2. Step 2: Convert to fraction form
    839.59/1,158.78 = 490.21/x
  3. Step 3: Cross multiply
    839.59x = 1,158.78 × 490.21
  4. Step 4: Simplify right side
    839.59x = 568,045.54
  5. Step 5: Solve for x
    x = 568,045.54/839.59
  6. Step 6: Final answer
    x = 676.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.