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Finding the Fourth Proportional to 883.49, 1,324.40 and 450.14

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Solution

The fourth proportional to 883.49, 1,324.40 and 450.14 is: 674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.49 : 1,324.40 = 450.14 : x
  2. Step 2: Convert to fraction form
    883.49/1,324.40 = 450.14/x
  3. Step 3: Cross multiply
    883.49x = 1,324.40 × 450.14
  4. Step 4: Simplify right side
    883.49x = 596,156.54
  5. Step 5: Solve for x
    x = 596,156.54/883.49
  6. Step 6: Final answer
    x = 674.78

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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.