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Finding the Fourth Proportional to 927.96, 1,393.18 and 654.18

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Solution

The fourth proportional to 927.96, 1,393.18 and 654.18 is: 982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.96 : 1,393.18 = 654.18 : x
  2. Step 2: Convert to fraction form
    927.96/1,393.18 = 654.18/x
  3. Step 3: Cross multiply
    927.96x = 1,393.18 × 654.18
  4. Step 4: Simplify right side
    927.96x = 911,390.49
  5. Step 5: Solve for x
    x = 911,390.49/927.96
  6. Step 6: Final answer
    x = 982.14

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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.