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Finding the Fourth Proportional to 839.20, 1,256.40 and 670.56

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Solution

The fourth proportional to 839.20, 1,256.40 and 670.56 is: 1,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.20 : 1,256.40 = 670.56 : x
  2. Step 2: Convert to fraction form
    839.20/1,256.40 = 670.56/x
  3. Step 3: Cross multiply
    839.20x = 1,256.40 × 670.56
  4. Step 4: Simplify right side
    839.20x = 842,491.58
  5. Step 5: Solve for x
    x = 842,491.58/839.20
  6. Step 6: Final answer
    x = 1,003.92

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