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Finding the Fourth Proportional to 1,478.08, 2,040 and 857.44

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Solution

The fourth proportional to 1,478.08, 2,040 and 857.44 is: 1,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.08 : 2,040 = 857.44 : x
  2. Step 2: Convert to fraction form
    1,478.08/2,040 = 857.44/x
  3. Step 3: Cross multiply
    1,478.08x = 2,040 × 857.44
  4. Step 4: Simplify right side
    1,478.08x = 1,749,177.60
  5. Step 5: Solve for x
    x = 1,749,177.60/1,478.08
  6. Step 6: Final answer
    x = 1,183.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.