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Finding the Fourth Proportional to 698.60, 1,047.34 and 287.94

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Solution

The fourth proportional to 698.60, 1,047.34 and 287.94 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.60 : 1,047.34 = 287.94 : x
  2. Step 2: Convert to fraction form
    698.60/1,047.34 = 287.94/x
  3. Step 3: Cross multiply
    698.60x = 1,047.34 × 287.94
  4. Step 4: Simplify right side
    698.60x = 301,571.08
  5. Step 5: Solve for x
    x = 301,571.08/698.60
  6. Step 6: Final answer
    x = 431.68

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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.