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Finding the Fourth Proportional to 701.04, 967.44 and 505.44

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Solution

The fourth proportional to 701.04, 967.44 and 505.44 is: 697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.04 : 967.44 = 505.44 : x
  2. Step 2: Convert to fraction form
    701.04/967.44 = 505.44/x
  3. Step 3: Cross multiply
    701.04x = 967.44 × 505.44
  4. Step 4: Simplify right side
    701.04x = 488,982.87
  5. Step 5: Solve for x
    x = 488,982.87/701.04
  6. Step 6: Final answer
    x = 697.51

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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.