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Finding the Fourth Proportional to 810.23, 1,216.14 and 546.65

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Solution

The fourth proportional to 810.23, 1,216.14 and 546.65 is: 820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.23 : 1,216.14 = 546.65 : x
  2. Step 2: Convert to fraction form
    810.23/1,216.14 = 546.65/x
  3. Step 3: Cross multiply
    810.23x = 1,216.14 × 546.65
  4. Step 4: Simplify right side
    810.23x = 664,796.85
  5. Step 5: Solve for x
    x = 664,796.85/810.23
  6. Step 6: Final answer
    x = 820.51

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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.