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Finding the Fourth Proportional to 825.31, 1,237.68 and 414.32

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Solution

The fourth proportional to 825.31, 1,237.68 and 414.32 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.31 : 1,237.68 = 414.32 : x
  2. Step 2: Convert to fraction form
    825.31/1,237.68 = 414.32/x
  3. Step 3: Cross multiply
    825.31x = 1,237.68 × 414.32
  4. Step 4: Simplify right side
    825.31x = 512,795.58
  5. Step 5: Solve for x
    x = 512,795.58/825.31
  6. Step 6: Final answer
    x = 621.34

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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.