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Finding the Fourth Proportional to 1,238.51, 1,857.96 and 416.85

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Solution

The fourth proportional to 1,238.51, 1,857.96 and 416.85 is: 625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.51 : 1,857.96 = 416.85 : x
  2. Step 2: Convert to fraction form
    1,238.51/1,857.96 = 416.85/x
  3. Step 3: Cross multiply
    1,238.51x = 1,857.96 × 416.85
  4. Step 4: Simplify right side
    1,238.51x = 774,490.63
  5. Step 5: Solve for x
    x = 774,490.63/1,238.51
  6. Step 6: Final answer
    x = 625.34

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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.