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Finding the Fourth Proportional to 714.57, 1,069.02 and 450.11

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Solution

The fourth proportional to 714.57, 1,069.02 and 450.11 is: 673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.57 : 1,069.02 = 450.11 : x
  2. Step 2: Convert to fraction form
    714.57/1,069.02 = 450.11/x
  3. Step 3: Cross multiply
    714.57x = 1,069.02 × 450.11
  4. Step 4: Simplify right side
    714.57x = 481,171.25
  5. Step 5: Solve for x
    x = 481,171.25/714.57
  6. Step 6: Final answer
    x = 673.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.