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Finding the Fourth Proportional to 1,362.00, 2,042.96 and 388.08

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Solution

The fourth proportional to 1,362.00, 2,042.96 and 388.08 is: 582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.00 : 2,042.96 = 388.08 : x
  2. Step 2: Convert to fraction form
    1,362.00/2,042.96 = 388.08/x
  3. Step 3: Cross multiply
    1,362.00x = 2,042.96 × 388.08
  4. Step 4: Simplify right side
    1,362.00x = 792,829.98
  5. Step 5: Solve for x
    x = 792,829.98/1,362.00
  6. Step 6: Final answer
    x = 582.11

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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.