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Finding the Fourth Proportional to 959.09, 1,323.44 and 539.38

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Solution

The fourth proportional to 959.09, 1,323.44 and 539.38 is: 744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.09 : 1,323.44 = 539.38 : x
  2. Step 2: Convert to fraction form
    959.09/1,323.44 = 539.38/x
  3. Step 3: Cross multiply
    959.09x = 1,323.44 × 539.38
  4. Step 4: Simplify right side
    959.09x = 713,841.77
  5. Step 5: Solve for x
    x = 713,841.77/959.09
  6. Step 6: Final answer
    x = 744.29

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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.