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Finding the Fourth Proportional to 1,438.31, 1,984.88 and 841.22

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Solution

The fourth proportional to 1,438.31, 1,984.88 and 841.22 is: 1,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.31 : 1,984.88 = 841.22 : x
  2. Step 2: Convert to fraction form
    1,438.31/1,984.88 = 841.22/x
  3. Step 3: Cross multiply
    1,438.31x = 1,984.88 × 841.22
  4. Step 4: Simplify right side
    1,438.31x = 1,669,720.75
  5. Step 5: Solve for x
    x = 1,669,720.75/1,438.31
  6. Step 6: Final answer
    x = 1,160.89

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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.