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Finding the Fourth Proportional to 1,252.89, 1,879.64 and 431.15

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Solution

The fourth proportional to 1,252.89, 1,879.64 and 431.15 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.89 : 1,879.64 = 431.15 : x
  2. Step 2: Convert to fraction form
    1,252.89/1,879.64 = 431.15/x
  3. Step 3: Cross multiply
    1,252.89x = 1,879.64 × 431.15
  4. Step 4: Simplify right side
    1,252.89x = 810,395.23
  5. Step 5: Solve for x
    x = 810,395.23/1,252.89
  6. Step 6: Final answer
    x = 646.82

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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.