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Finding the Fourth Proportional to 959.25, 1,323.77 and 628.23

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Solution

The fourth proportional to 959.25, 1,323.77 and 628.23 is: 866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.25 : 1,323.77 = 628.23 : x
  2. Step 2: Convert to fraction form
    959.25/1,323.77 = 628.23/x
  3. Step 3: Cross multiply
    959.25x = 1,323.77 × 628.23
  4. Step 4: Simplify right side
    959.25x = 831,632.03
  5. Step 5: Solve for x
    x = 831,632.03/959.25
  6. Step 6: Final answer
    x = 866.96

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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.