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Finding the Fourth Proportional to 1,200.52, 1,801.02 and 431.08

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Solution

The fourth proportional to 1,200.52, 1,801.02 and 431.08 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.52 : 1,801.02 = 431.08 : x
  2. Step 2: Convert to fraction form
    1,200.52/1,801.02 = 431.08/x
  3. Step 3: Cross multiply
    1,200.52x = 1,801.02 × 431.08
  4. Step 4: Simplify right side
    1,200.52x = 776,383.70
  5. Step 5: Solve for x
    x = 776,383.70/1,200.52
  6. Step 6: Final answer
    x = 646.71

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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.