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Finding the Fourth Proportional to 993.28, 1,369.92 and 818.32

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Solution

The fourth proportional to 993.28, 1,369.92 and 818.32 is: 1,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.28 : 1,369.92 = 818.32 : x
  2. Step 2: Convert to fraction form
    993.28/1,369.92 = 818.32/x
  3. Step 3: Cross multiply
    993.28x = 1,369.92 × 818.32
  4. Step 4: Simplify right side
    993.28x = 1,121,032.93
  5. Step 5: Solve for x
    x = 1,121,032.93/993.28
  6. Step 6: Final answer
    x = 1,128.62

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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.