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Finding the Fourth Proportional to 1,438.28, 1,984.69 and 848.69

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Solution

The fourth proportional to 1,438.28, 1,984.69 and 848.69 is: 1,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.28 : 1,984.69 = 848.69 : x
  2. Step 2: Convert to fraction form
    1,438.28/1,984.69 = 848.69/x
  3. Step 3: Cross multiply
    1,438.28x = 1,984.69 × 848.69
  4. Step 4: Simplify right side
    1,438.28x = 1,684,386.56
  5. Step 5: Solve for x
    x = 1,684,386.56/1,438.28
  6. Step 6: Final answer
    x = 1,171.11

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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.