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Finding the Fourth Proportional to 1,362.40, 2,043.46 and 388.57

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Solution

The fourth proportional to 1,362.40, 2,043.46 and 388.57 is: 582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.40 : 2,043.46 = 388.57 : x
  2. Step 2: Convert to fraction form
    1,362.40/2,043.46 = 388.57/x
  3. Step 3: Cross multiply
    1,362.40x = 2,043.46 × 388.57
  4. Step 4: Simplify right side
    1,362.40x = 794,027.25
  5. Step 5: Solve for x
    x = 794,027.25/1,362.40
  6. Step 6: Final answer
    x = 582.82

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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.