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Finding the Fourth Proportional to 1,164.98, 1,747.47 and 395.54

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Solution

The fourth proportional to 1,164.98, 1,747.47 and 395.54 is: 593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.98 : 1,747.47 = 395.54 : x
  2. Step 2: Convert to fraction form
    1,164.98/1,747.47 = 395.54/x
  3. Step 3: Cross multiply
    1,164.98x = 1,747.47 × 395.54
  4. Step 4: Simplify right side
    1,164.98x = 691,194.28
  5. Step 5: Solve for x
    x = 691,194.28/1,164.98
  6. Step 6: Final answer
    x = 593.31

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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.