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Finding the Fourth Proportional to 1,253.02, 1,879.46 and 431.27

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Solution

The fourth proportional to 1,253.02, 1,879.46 and 431.27 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.02 : 1,879.46 = 431.27 : x
  2. Step 2: Convert to fraction form
    1,253.02/1,879.46 = 431.27/x
  3. Step 3: Cross multiply
    1,253.02x = 1,879.46 × 431.27
  4. Step 4: Simplify right side
    1,253.02x = 810,563.61
  5. Step 5: Solve for x
    x = 810,563.61/1,253.02
  6. Step 6: Final answer
    x = 646.89

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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.