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Finding the Fourth Proportional to 959.97, 1,324.76 and 540.34

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Solution

The fourth proportional to 959.97, 1,324.76 and 540.34 is: 745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.97 : 1,324.76 = 540.34 : x
  2. Step 2: Convert to fraction form
    959.97/1,324.76 = 540.34/x
  3. Step 3: Cross multiply
    959.97x = 1,324.76 × 540.34
  4. Step 4: Simplify right side
    959.97x = 715,818.12
  5. Step 5: Solve for x
    x = 715,818.12/959.97
  6. Step 6: Final answer
    x = 745.67

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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.