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Finding the Fourth Proportional to 698.06, 1,047.80 and 287.44

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Solution

The fourth proportional to 698.06, 1,047.80 and 287.44 is: 431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.06 : 1,047.80 = 287.44 : x
  2. Step 2: Convert to fraction form
    698.06/1,047.80 = 287.44/x
  3. Step 3: Cross multiply
    698.06x = 1,047.80 × 287.44
  4. Step 4: Simplify right side
    698.06x = 301,177.73
  5. Step 5: Solve for x
    x = 301,177.73/698.06
  6. Step 6: Final answer
    x = 431.45

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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.