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Finding the Fourth Proportional to 698.09, 1,046.72 and 265.28

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Solution

The fourth proportional to 698.09, 1,046.72 and 265.28 is: 397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.09 : 1,046.72 = 265.28 : x
  2. Step 2: Convert to fraction form
    698.09/1,046.72 = 265.28/x
  3. Step 3: Cross multiply
    698.09x = 1,046.72 × 265.28
  4. Step 4: Simplify right side
    698.09x = 277,669.31
  5. Step 5: Solve for x
    x = 277,669.31/698.09
  6. Step 6: Final answer
    x = 397.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.