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Finding the Fourth Proportional to 1,385.44, 2,074.72 and 806.56

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Solution

The fourth proportional to 1,385.44, 2,074.72 and 806.56 is: 1,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.44 : 2,074.72 = 806.56 : x
  2. Step 2: Convert to fraction form
    1,385.44/2,074.72 = 806.56/x
  3. Step 3: Cross multiply
    1,385.44x = 2,074.72 × 806.56
  4. Step 4: Simplify right side
    1,385.44x = 1,673,386.16
  5. Step 5: Solve for x
    x = 1,673,386.16/1,385.44
  6. Step 6: Final answer
    x = 1,207.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.