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Finding the Fourth Proportional to 959.81, 1,324.47 and 540.23

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Solution

The fourth proportional to 959.81, 1,324.47 and 540.23 is: 745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.81 : 1,324.47 = 540.23 : x
  2. Step 2: Convert to fraction form
    959.81/1,324.47 = 540.23/x
  3. Step 3: Cross multiply
    959.81x = 1,324.47 × 540.23
  4. Step 4: Simplify right side
    959.81x = 715,511.81
  5. Step 5: Solve for x
    x = 715,511.81/959.81
  6. Step 6: Final answer
    x = 745.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.