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Finding the Fourth Proportional to 932.72, 1,289.94 and 819.32

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Solution

The fourth proportional to 932.72, 1,289.94 and 819.32 is: 1,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.72 : 1,289.94 = 819.32 : x
  2. Step 2: Convert to fraction form
    932.72/1,289.94 = 819.32/x
  3. Step 3: Cross multiply
    932.72x = 1,289.94 × 819.32
  4. Step 4: Simplify right side
    932.72x = 1,056,873.64
  5. Step 5: Solve for x
    x = 1,056,873.64/932.72
  6. Step 6: Final answer
    x = 1,133.11

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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.