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Finding the Fourth Proportional to 1,478.71, 2,040.69 and 849.23

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Solution

The fourth proportional to 1,478.71, 2,040.69 and 849.23 is: 1,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.71 : 2,040.69 = 849.23 : x
  2. Step 2: Convert to fraction form
    1,478.71/2,040.69 = 849.23/x
  3. Step 3: Cross multiply
    1,478.71x = 2,040.69 × 849.23
  4. Step 4: Simplify right side
    1,478.71x = 1,733,015.17
  5. Step 5: Solve for x
    x = 1,733,015.17/1,478.71
  6. Step 6: Final answer
    x = 1,171.98

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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.