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Finding the Fourth Proportional to 698.59, 1,047.84 and 178.59

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Solution

The fourth proportional to 698.59, 1,047.84 and 178.59 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.59 : 1,047.84 = 178.59 : x
  2. Step 2: Convert to fraction form
    698.59/1,047.84 = 178.59/x
  3. Step 3: Cross multiply
    698.59x = 1,047.84 × 178.59
  4. Step 4: Simplify right side
    698.59x = 187,133.75
  5. Step 5: Solve for x
    x = 187,133.75/698.59
  6. Step 6: Final answer
    x = 267.87

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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.