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Finding the Fourth Proportional to 1,438.05, 1,983.78 and 848.01

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Solution

The fourth proportional to 1,438.05, 1,983.78 and 848.01 is: 1,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.05 : 1,983.78 = 848.01 : x
  2. Step 2: Convert to fraction form
    1,438.05/1,983.78 = 848.01/x
  3. Step 3: Cross multiply
    1,438.05x = 1,983.78 × 848.01
  4. Step 4: Simplify right side
    1,438.05x = 1,682,265.28
  5. Step 5: Solve for x
    x = 1,682,265.28/1,438.05
  6. Step 6: Final answer
    x = 1,169.82

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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.