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Finding the Fourth Proportional to 1,362.31, 2,043.60 and 496.42

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Solution

The fourth proportional to 1,362.31, 2,043.60 and 496.42 is: 744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.31 : 2,043.60 = 496.42 : x
  2. Step 2: Convert to fraction form
    1,362.31/2,043.60 = 496.42/x
  3. Step 3: Cross multiply
    1,362.31x = 2,043.60 × 496.42
  4. Step 4: Simplify right side
    1,362.31x = 1,014,483.91
  5. Step 5: Solve for x
    x = 1,014,483.91/1,362.31
  6. Step 6: Final answer
    x = 744.68

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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.