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Finding the Fourth Proportional to 1,238.25, 1,857.53 and 458.12

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Solution

The fourth proportional to 1,238.25, 1,857.53 and 458.12 is: 687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.25 : 1,857.53 = 458.12 : x
  2. Step 2: Convert to fraction form
    1,238.25/1,857.53 = 458.12/x
  3. Step 3: Cross multiply
    1,238.25x = 1,857.53 × 458.12
  4. Step 4: Simplify right side
    1,238.25x = 850,971.64
  5. Step 5: Solve for x
    x = 850,971.64/1,238.25
  6. Step 6: Final answer
    x = 687.24

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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.