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Finding the Fourth Proportional to 1,238.67, 1,858.23 and 589.41

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Solution

The fourth proportional to 1,238.67, 1,858.23 and 589.41 is: 884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.67 : 1,858.23 = 589.41 : x
  2. Step 2: Convert to fraction form
    1,238.67/1,858.23 = 589.41/x
  3. Step 3: Cross multiply
    1,238.67x = 1,858.23 × 589.41
  4. Step 4: Simplify right side
    1,238.67x = 1,095,259.34
  5. Step 5: Solve for x
    x = 1,095,259.34/1,238.67
  6. Step 6: Final answer
    x = 884.22

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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.