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Finding the Fourth Proportional to 1,478.19, 2,040.09 and 848.82

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Solution

The fourth proportional to 1,478.19, 2,040.09 and 848.82 is: 1,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.19 : 2,040.09 = 848.82 : x
  2. Step 2: Convert to fraction form
    1,478.19/2,040.09 = 848.82/x
  3. Step 3: Cross multiply
    1,478.19x = 2,040.09 × 848.82
  4. Step 4: Simplify right side
    1,478.19x = 1,731,654.75
  5. Step 5: Solve for x
    x = 1,731,654.75/1,478.19
  6. Step 6: Final answer
    x = 1,171.47

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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.