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Finding the Fourth Proportional to 1,200.54, 1,800.02 and 506.84

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Solution

The fourth proportional to 1,200.54, 1,800.02 and 506.84 is: 759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.54 : 1,800.02 = 506.84 : x
  2. Step 2: Convert to fraction form
    1,200.54/1,800.02 = 506.84/x
  3. Step 3: Cross multiply
    1,200.54x = 1,800.02 × 506.84
  4. Step 4: Simplify right side
    1,200.54x = 912,324.53
  5. Step 5: Solve for x
    x = 912,324.53/1,200.54
  6. Step 6: Final answer
    x = 759.93

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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.