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Finding the Fourth Proportional to 1,238.81, 1,858.95 and 459.36

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Solution

The fourth proportional to 1,238.81, 1,858.95 and 459.36 is: 689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.81 : 1,858.95 = 459.36 : x
  2. Step 2: Convert to fraction form
    1,238.81/1,858.95 = 459.36/x
  3. Step 3: Cross multiply
    1,238.81x = 1,858.95 × 459.36
  4. Step 4: Simplify right side
    1,238.81x = 853,927.27
  5. Step 5: Solve for x
    x = 853,927.27/1,238.81
  6. Step 6: Final answer
    x = 689.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.