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Finding the Fourth Proportional to 959.90, 1,323.56 and 819.77

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Solution

The fourth proportional to 959.90, 1,323.56 and 819.77 is: 1,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.90 : 1,323.56 = 819.77 : x
  2. Step 2: Convert to fraction form
    959.90/1,323.56 = 819.77/x
  3. Step 3: Cross multiply
    959.90x = 1,323.56 × 819.77
  4. Step 4: Simplify right side
    959.90x = 1,085,004.06
  5. Step 5: Solve for x
    x = 1,085,004.06/959.90
  6. Step 6: Final answer
    x = 1,130.34

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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.