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Finding the Fourth Proportional to 1,478.64, 2,040.48 and 857.64

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Solution

The fourth proportional to 1,478.64, 2,040.48 and 857.64 is: 1,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.64 : 2,040.48 = 857.64 : x
  2. Step 2: Convert to fraction form
    1,478.64/2,040.48 = 857.64/x
  3. Step 3: Cross multiply
    1,478.64x = 2,040.48 × 857.64
  4. Step 4: Simplify right side
    1,478.64x = 1,749,997.27
  5. Step 5: Solve for x
    x = 1,749,997.27/1,478.64
  6. Step 6: Final answer
    x = 1,183.52

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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.