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Finding the Fourth Proportional to 983.61, 1,474.38 and 932.34

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Solution

The fourth proportional to 983.61, 1,474.38 and 932.34 is: 1,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.61 : 1,474.38 = 932.34 : x
  2. Step 2: Convert to fraction form
    983.61/1,474.38 = 932.34/x
  3. Step 3: Cross multiply
    983.61x = 1,474.38 × 932.34
  4. Step 4: Simplify right side
    983.61x = 1,374,628.98
  5. Step 5: Solve for x
    x = 1,374,628.98/983.61
  6. Step 6: Final answer
    x = 1,397.53

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