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Finding the Fourth Proportional to 1,200.34, 1,800.21 and 459.80

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Solution

The fourth proportional to 1,200.34, 1,800.21 and 459.80 is: 689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.34 : 1,800.21 = 459.80 : x
  2. Step 2: Convert to fraction form
    1,200.34/1,800.21 = 459.80/x
  3. Step 3: Cross multiply
    1,200.34x = 1,800.21 × 459.80
  4. Step 4: Simplify right side
    1,200.34x = 827,727.56
  5. Step 5: Solve for x
    x = 827,727.56/1,200.34
  6. Step 6: Final answer
    x = 689.58

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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.