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Finding the Fourth Proportional to 698.56, 1,047.72 and 185.56

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Solution

The fourth proportional to 698.56, 1,047.72 and 185.56 is: 278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.56 : 1,047.72 = 185.56 : x
  2. Step 2: Convert to fraction form
    698.56/1,047.72 = 185.56/x
  3. Step 3: Cross multiply
    698.56x = 1,047.72 × 185.56
  4. Step 4: Simplify right side
    698.56x = 194,414.92
  5. Step 5: Solve for x
    x = 194,414.92/698.56
  6. Step 6: Final answer
    x = 278.31

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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.