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Finding the Fourth Proportional to 697.64, 1,046.84 and 454.64

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Solution

The fourth proportional to 697.64, 1,046.84 and 454.64 is: 682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 1,046.84 = 454.64 : x
  2. Step 2: Convert to fraction form
    697.64/1,046.84 = 454.64/x
  3. Step 3: Cross multiply
    697.64x = 1,046.84 × 454.64
  4. Step 4: Simplify right side
    697.64x = 475,935.34
  5. Step 5: Solve for x
    x = 475,935.34/697.64
  6. Step 6: Final answer
    x = 682.21

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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.