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Finding the Fourth Proportional to 1,362.85, 2,044.37 and 388.96

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Solution

The fourth proportional to 1,362.85, 2,044.37 and 388.96 is: 583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.85 : 2,044.37 = 388.96 : x
  2. Step 2: Convert to fraction form
    1,362.85/2,044.37 = 388.96/x
  3. Step 3: Cross multiply
    1,362.85x = 2,044.37 × 388.96
  4. Step 4: Simplify right side
    1,362.85x = 795,178.16
  5. Step 5: Solve for x
    x = 795,178.16/1,362.85
  6. Step 6: Final answer
    x = 583.47

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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.