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Finding the Fourth Proportional to 983.85, 1,475.31 and 489.85

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Solution

The fourth proportional to 983.85, 1,475.31 and 489.85 is: 734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.85 : 1,475.31 = 489.85 : x
  2. Step 2: Convert to fraction form
    983.85/1,475.31 = 489.85/x
  3. Step 3: Cross multiply
    983.85x = 1,475.31 × 489.85
  4. Step 4: Simplify right side
    983.85x = 722,678.75
  5. Step 5: Solve for x
    x = 722,678.75/983.85
  6. Step 6: Final answer
    x = 734.54

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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.