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Finding the Fourth Proportional to 928.29, 1,394.19 and 822.45

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Solution

The fourth proportional to 928.29, 1,394.19 and 822.45 is: 1,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.29 : 1,394.19 = 822.45 : x
  2. Step 2: Convert to fraction form
    928.29/1,394.19 = 822.45/x
  3. Step 3: Cross multiply
    928.29x = 1,394.19 × 822.45
  4. Step 4: Simplify right side
    928.29x = 1,146,651.57
  5. Step 5: Solve for x
    x = 1,146,651.57/928.29
  6. Step 6: Final answer
    x = 1,235.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.