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Finding the Fourth Proportional to 1,238.97, 1,858.50 and 459.17

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Solution

The fourth proportional to 1,238.97, 1,858.50 and 459.17 is: 688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.97 : 1,858.50 = 459.17 : x
  2. Step 2: Convert to fraction form
    1,238.97/1,858.50 = 459.17/x
  3. Step 3: Cross multiply
    1,238.97x = 1,858.50 × 459.17
  4. Step 4: Simplify right side
    1,238.97x = 853,367.45
  5. Step 5: Solve for x
    x = 853,367.45/1,238.97
  6. Step 6: Final answer
    x = 688.77

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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.