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Finding the Fourth Proportional to 1,252.70, 1,879.23 and 387.08

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Solution

The fourth proportional to 1,252.70, 1,879.23 and 387.08 is: 580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.70 : 1,879.23 = 387.08 : x
  2. Step 2: Convert to fraction form
    1,252.70/1,879.23 = 387.08/x
  3. Step 3: Cross multiply
    1,252.70x = 1,879.23 × 387.08
  4. Step 4: Simplify right side
    1,252.70x = 727,412.35
  5. Step 5: Solve for x
    x = 727,412.35/1,252.70
  6. Step 6: Final answer
    x = 580.68

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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.