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Finding the Fourth Proportional to 812.95, 1,216.31 and 466.45

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Solution

The fourth proportional to 812.95, 1,216.31 and 466.45 is: 697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.95 : 1,216.31 = 466.45 : x
  2. Step 2: Convert to fraction form
    812.95/1,216.31 = 466.45/x
  3. Step 3: Cross multiply
    812.95x = 1,216.31 × 466.45
  4. Step 4: Simplify right side
    812.95x = 567,342.43
  5. Step 5: Solve for x
    x = 567,342.43/812.95
  6. Step 6: Final answer
    x = 697.88

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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.