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Finding the Fourth Proportional to 1,478.09, 2,039.88 and 979.87

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Solution

The fourth proportional to 1,478.09, 2,039.88 and 979.87 is: 1,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.09 : 2,039.88 = 979.87 : x
  2. Step 2: Convert to fraction form
    1,478.09/2,039.88 = 979.87/x
  3. Step 3: Cross multiply
    1,478.09x = 2,039.88 × 979.87
  4. Step 4: Simplify right side
    1,478.09x = 1,998,817.22
  5. Step 5: Solve for x
    x = 1,998,817.22/1,478.09
  6. Step 6: Final answer
    x = 1,352.30

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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.