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Finding the Fourth Proportional to 810.82, 1,215.64 and 399.85

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Solution

The fourth proportional to 810.82, 1,215.64 and 399.85 is: 599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.82 : 1,215.64 = 399.85 : x
  2. Step 2: Convert to fraction form
    810.82/1,215.64 = 399.85/x
  3. Step 3: Cross multiply
    810.82x = 1,215.64 × 399.85
  4. Step 4: Simplify right side
    810.82x = 486,073.65
  5. Step 5: Solve for x
    x = 486,073.65/810.82
  6. Step 6: Final answer
    x = 599.48

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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.