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Finding the Fourth Proportional to 959.44, 1,323.06 and 828.28

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Solution

The fourth proportional to 959.44, 1,323.06 and 828.28 is: 1,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.44 : 1,323.06 = 828.28 : x
  2. Step 2: Convert to fraction form
    959.44/1,323.06 = 828.28/x
  3. Step 3: Cross multiply
    959.44x = 1,323.06 × 828.28
  4. Step 4: Simplify right side
    959.44x = 1,095,864.14
  5. Step 5: Solve for x
    x = 1,095,864.14/959.44
  6. Step 6: Final answer
    x = 1,142.19

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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.