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Finding the Fourth Proportional to 698.31, 1,047.78 and 265.50

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Solution

The fourth proportional to 698.31, 1,047.78 and 265.50 is: 398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.31 : 1,047.78 = 265.50 : x
  2. Step 2: Convert to fraction form
    698.31/1,047.78 = 265.50/x
  3. Step 3: Cross multiply
    698.31x = 1,047.78 × 265.50
  4. Step 4: Simplify right side
    698.31x = 278,185.59
  5. Step 5: Solve for x
    x = 278,185.59/698.31
  6. Step 6: Final answer
    x = 398.37

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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.