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Finding the Fourth Proportional to 1,071.87, 1,606.89 and 1,020.84

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Solution

The fourth proportional to 1,071.87, 1,606.89 and 1,020.84 is: 1,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.87 : 1,606.89 = 1,020.84 : x
  2. Step 2: Convert to fraction form
    1,071.87/1,606.89 = 1,020.84/x
  3. Step 3: Cross multiply
    1,071.87x = 1,606.89 × 1,020.84
  4. Step 4: Simplify right side
    1,071.87x = 1,640,377.59
  5. Step 5: Solve for x
    x = 1,640,377.59/1,071.87
  6. Step 6: Final answer
    x = 1,530.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.