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Finding the Fourth Proportional to 1,438.24, 1,984.60 and 848.56

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Solution

The fourth proportional to 1,438.24, 1,984.60 and 848.56 is: 1,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.24 : 1,984.60 = 848.56 : x
  2. Step 2: Convert to fraction form
    1,438.24/1,984.60 = 848.56/x
  3. Step 3: Cross multiply
    1,438.24x = 1,984.60 × 848.56
  4. Step 4: Simplify right side
    1,438.24x = 1,684,052.18
  5. Step 5: Solve for x
    x = 1,684,052.18/1,438.24
  6. Step 6: Final answer
    x = 1,170.91

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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.