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Finding the Fourth Proportional to 866.14, 1,296.90 and 454.41

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Solution

The fourth proportional to 866.14, 1,296.90 and 454.41 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.14 : 1,296.90 = 454.41 : x
  2. Step 2: Convert to fraction form
    866.14/1,296.90 = 454.41/x
  3. Step 3: Cross multiply
    866.14x = 1,296.90 × 454.41
  4. Step 4: Simplify right side
    866.14x = 589,327.49
  5. Step 5: Solve for x
    x = 589,327.49/866.14
  6. Step 6: Final answer
    x = 680.41

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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.