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Finding the Fourth Proportional to 704.56, 1,056.80 and 184.56

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Solution

The fourth proportional to 704.56, 1,056.80 and 184.56 is: 276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.56 : 1,056.80 = 184.56 : x
  2. Step 2: Convert to fraction form
    704.56/1,056.80 = 184.56/x
  3. Step 3: Cross multiply
    704.56x = 1,056.80 × 184.56
  4. Step 4: Simplify right side
    704.56x = 195,043.01
  5. Step 5: Solve for x
    x = 195,043.01/704.56
  6. Step 6: Final answer
    x = 276.83

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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.