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Finding the Fourth Proportional to 959.23, 1,323.69 and 539.60

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Solution

The fourth proportional to 959.23, 1,323.69 and 539.60 is: 744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.23 : 1,323.69 = 539.60 : x
  2. Step 2: Convert to fraction form
    959.23/1,323.69 = 539.60/x
  3. Step 3: Cross multiply
    959.23x = 1,323.69 × 539.60
  4. Step 4: Simplify right side
    959.23x = 714,263.12
  5. Step 5: Solve for x
    x = 714,263.12/959.23
  6. Step 6: Final answer
    x = 744.62

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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.