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Finding the Fourth Proportional to 959.70, 1,323.66 and 827.15

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Solution

The fourth proportional to 959.70, 1,323.66 and 827.15 is: 1,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.70 : 1,323.66 = 827.15 : x
  2. Step 2: Convert to fraction form
    959.70/1,323.66 = 827.15/x
  3. Step 3: Cross multiply
    959.70x = 1,323.66 × 827.15
  4. Step 4: Simplify right side
    959.70x = 1,094,865.37
  5. Step 5: Solve for x
    x = 1,094,865.37/959.70
  6. Step 6: Final answer
    x = 1,140.84

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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.