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Finding the Fourth Proportional to 701, 967.32 and 452.04

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Solution

The fourth proportional to 701, 967.32 and 452.04 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701 : 967.32 = 452.04 : x
  2. Step 2: Convert to fraction form
    701/967.32 = 452.04/x
  3. Step 3: Cross multiply
    701x = 967.32 × 452.04
  4. Step 4: Simplify right side
    701x = 437,267.33
  5. Step 5: Solve for x
    x = 437,267.33/701
  6. Step 6: Final answer
    x = 623.78

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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.