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Finding the Fourth Proportional to 1,262.14, 1,893.46 and 396.52

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Solution

The fourth proportional to 1,262.14, 1,893.46 and 396.52 is: 594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.14 : 1,893.46 = 396.52 : x
  2. Step 2: Convert to fraction form
    1,262.14/1,893.46 = 396.52/x
  3. Step 3: Cross multiply
    1,262.14x = 1,893.46 × 396.52
  4. Step 4: Simplify right side
    1,262.14x = 750,794.76
  5. Step 5: Solve for x
    x = 750,794.76/1,262.14
  6. Step 6: Final answer
    x = 594.86

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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.