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Finding the Fourth Proportional to 1,320.77, 1,822.55 and 1,180.44

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Solution

The fourth proportional to 1,320.77, 1,822.55 and 1,180.44 is: 1,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.77 : 1,822.55 = 1,180.44 : x
  2. Step 2: Convert to fraction form
    1,320.77/1,822.55 = 1,180.44/x
  3. Step 3: Cross multiply
    1,320.77x = 1,822.55 × 1,180.44
  4. Step 4: Simplify right side
    1,320.77x = 2,151,410.92
  5. Step 5: Solve for x
    x = 2,151,410.92/1,320.77
  6. Step 6: Final answer
    x = 1,628.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.