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Finding the Fourth Proportional to 932.34, 1,283.71 and 792.18

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Solution

The fourth proportional to 932.34, 1,283.71 and 792.18 is: 1,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.34 : 1,283.71 = 792.18 : x
  2. Step 2: Convert to fraction form
    932.34/1,283.71 = 792.18/x
  3. Step 3: Cross multiply
    932.34x = 1,283.71 × 792.18
  4. Step 4: Simplify right side
    932.34x = 1,016,929.39
  5. Step 5: Solve for x
    x = 1,016,929.39/932.34
  6. Step 6: Final answer
    x = 1,090.73

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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.