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Finding the Fourth Proportional to 1,238.64, 1,857.93 and 416.80

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Solution

The fourth proportional to 1,238.64, 1,857.93 and 416.80 is: 625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.64 : 1,857.93 = 416.80 : x
  2. Step 2: Convert to fraction form
    1,238.64/1,857.93 = 416.80/x
  3. Step 3: Cross multiply
    1,238.64x = 1,857.93 × 416.80
  4. Step 4: Simplify right side
    1,238.64x = 774,385.22
  5. Step 5: Solve for x
    x = 774,385.22/1,238.64
  6. Step 6: Final answer
    x = 625.19

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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.