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Finding the Fourth Proportional to 697.01, 1,043.89 and 422.82

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Solution

The fourth proportional to 697.01, 1,043.89 and 422.82 is: 633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.01 : 1,043.89 = 422.82 : x
  2. Step 2: Convert to fraction form
    697.01/1,043.89 = 422.82/x
  3. Step 3: Cross multiply
    697.01x = 1,043.89 × 422.82
  4. Step 4: Simplify right side
    697.01x = 441,376.51
  5. Step 5: Solve for x
    x = 441,376.51/697.01
  6. Step 6: Final answer
    x = 633.25

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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.