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Finding the Fourth Proportional to 959.74, 1,324.40 and 540.08

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Solution

The fourth proportional to 959.74, 1,324.40 and 540.08 is: 745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.74 : 1,324.40 = 540.08 : x
  2. Step 2: Convert to fraction form
    959.74/1,324.40 = 540.08/x
  3. Step 3: Cross multiply
    959.74x = 1,324.40 × 540.08
  4. Step 4: Simplify right side
    959.74x = 715,282.56
  5. Step 5: Solve for x
    x = 715,282.56/959.74
  6. Step 6: Final answer
    x = 745.29

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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.