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Finding the Fourth Proportional to 1,320.24, 1,980.68 and 395.77

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Solution

The fourth proportional to 1,320.24, 1,980.68 and 395.77 is: 593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.24 : 1,980.68 = 395.77 : x
  2. Step 2: Convert to fraction form
    1,320.24/1,980.68 = 395.77/x
  3. Step 3: Cross multiply
    1,320.24x = 1,980.68 × 395.77
  4. Step 4: Simplify right side
    1,320.24x = 783,893.72
  5. Step 5: Solve for x
    x = 783,893.72/1,320.24
  6. Step 6: Final answer
    x = 593.75

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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.