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Finding the Fourth Proportional to 700.97, 967.14 and 452.36

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Solution

The fourth proportional to 700.97, 967.14 and 452.36 is: 624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.97 : 967.14 = 452.36 : x
  2. Step 2: Convert to fraction form
    700.97/967.14 = 452.36/x
  3. Step 3: Cross multiply
    700.97x = 967.14 × 452.36
  4. Step 4: Simplify right side
    700.97x = 437,497.87
  5. Step 5: Solve for x
    x = 437,497.87/700.97
  6. Step 6: Final answer
    x = 624.14

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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.