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Finding the Fourth Proportional to 1,320.37, 1,979.91 and 395.65

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Solution

The fourth proportional to 1,320.37, 1,979.91 and 395.65 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.37 : 1,979.91 = 395.65 : x
  2. Step 2: Convert to fraction form
    1,320.37/1,979.91 = 395.65/x
  3. Step 3: Cross multiply
    1,320.37x = 1,979.91 × 395.65
  4. Step 4: Simplify right side
    1,320.37x = 783,353.87
  5. Step 5: Solve for x
    x = 783,353.87/1,320.37
  6. Step 6: Final answer
    x = 593.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.