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Finding the Fourth Proportional to 976.94, 1,465.42 and 399.82

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Solution

The fourth proportional to 976.94, 1,465.42 and 399.82 is: 599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.94 : 1,465.42 = 399.82 : x
  2. Step 2: Convert to fraction form
    976.94/1,465.42 = 399.82/x
  3. Step 3: Cross multiply
    976.94x = 1,465.42 × 399.82
  4. Step 4: Simplify right side
    976.94x = 585,899.56
  5. Step 5: Solve for x
    x = 585,899.56/976.94
  6. Step 6: Final answer
    x = 599.73

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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.