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Finding the Fourth Proportional to 1,252.97, 1,879.51 and 375.49

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Solution

The fourth proportional to 1,252.97, 1,879.51 and 375.49 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.97 : 1,879.51 = 375.49 : x
  2. Step 2: Convert to fraction form
    1,252.97/1,879.51 = 375.49/x
  3. Step 3: Cross multiply
    1,252.97x = 1,879.51 × 375.49
  4. Step 4: Simplify right side
    1,252.97x = 705,731.10
  5. Step 5: Solve for x
    x = 705,731.10/1,252.97
  6. Step 6: Final answer
    x = 563.25

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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.