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Finding the Fourth Proportional to 1,200.88, 1,801.36 and 431.44

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Solution

The fourth proportional to 1,200.88, 1,801.36 and 431.44 is: 647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.88 : 1,801.36 = 431.44 : x
  2. Step 2: Convert to fraction form
    1,200.88/1,801.36 = 431.44/x
  3. Step 3: Cross multiply
    1,200.88x = 1,801.36 × 431.44
  4. Step 4: Simplify right side
    1,200.88x = 777,178.76
  5. Step 5: Solve for x
    x = 777,178.76/1,200.88
  6. Step 6: Final answer
    x = 647.17

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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.