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Finding the Fourth Proportional to 701.01, 967.20 and 452.24

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Solution

The fourth proportional to 701.01, 967.20 and 452.24 is: 623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.01 : 967.20 = 452.24 : x
  2. Step 2: Convert to fraction form
    701.01/967.20 = 452.24/x
  3. Step 3: Cross multiply
    701.01x = 967.20 × 452.24
  4. Step 4: Simplify right side
    701.01x = 437,406.53
  5. Step 5: Solve for x
    x = 437,406.53/701.01
  6. Step 6: Final answer
    x = 623.97

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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.