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Finding the Fourth Proportional to 698.07, 1,047.09 and 287.24

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Solution

The fourth proportional to 698.07, 1,047.09 and 287.24 is: 430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.07 : 1,047.09 = 287.24 : x
  2. Step 2: Convert to fraction form
    698.07/1,047.09 = 287.24/x
  3. Step 3: Cross multiply
    698.07x = 1,047.09 × 287.24
  4. Step 4: Simplify right side
    698.07x = 300,766.13
  5. Step 5: Solve for x
    x = 300,766.13/698.07
  6. Step 6: Final answer
    x = 430.85

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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.