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Finding the Fourth Proportional to 1,238.44, 1,854.54 and 589.24

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Solution

The fourth proportional to 1,238.44, 1,854.54 and 589.24 is: 882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.44 : 1,854.54 = 589.24 : x
  2. Step 2: Convert to fraction form
    1,238.44/1,854.54 = 589.24/x
  3. Step 3: Cross multiply
    1,238.44x = 1,854.54 × 589.24
  4. Step 4: Simplify right side
    1,238.44x = 1,092,769.15
  5. Step 5: Solve for x
    x = 1,092,769.15/1,238.44
  6. Step 6: Final answer
    x = 882.38

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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.