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Finding the Fourth Proportional to 959.98, 1,324.54 and 540.25

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Solution

The fourth proportional to 959.98, 1,324.54 and 540.25 is: 745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.98 : 1,324.54 = 540.25 : x
  2. Step 2: Convert to fraction form
    959.98/1,324.54 = 540.25/x
  3. Step 3: Cross multiply
    959.98x = 1,324.54 × 540.25
  4. Step 4: Simplify right side
    959.98x = 715,580.03
  5. Step 5: Solve for x
    x = 715,580.03/959.98
  6. Step 6: Final answer
    x = 745.41

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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.