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Finding the Fourth Proportional to 697.82, 963.08 and 435.88

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Solution

The fourth proportional to 697.82, 963.08 and 435.88 is: 601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.82 : 963.08 = 435.88 : x
  2. Step 2: Convert to fraction form
    697.82/963.08 = 435.88/x
  3. Step 3: Cross multiply
    697.82x = 963.08 × 435.88
  4. Step 4: Simplify right side
    697.82x = 419,787.31
  5. Step 5: Solve for x
    x = 419,787.31/697.82
  6. Step 6: Final answer
    x = 601.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.