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Finding the Fourth Proportional to 697.56, 1,046.64 and 264.78

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Solution

The fourth proportional to 697.56, 1,046.64 and 264.78 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.56 : 1,046.64 = 264.78 : x
  2. Step 2: Convert to fraction form
    697.56/1,046.64 = 264.78/x
  3. Step 3: Cross multiply
    697.56x = 1,046.64 × 264.78
  4. Step 4: Simplify right side
    697.56x = 277,129.34
  5. Step 5: Solve for x
    x = 277,129.34/697.56
  6. Step 6: Final answer
    x = 397.28

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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.