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Finding the Fourth Proportional to 983.16, 1,474.90 and 489.59

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Solution

The fourth proportional to 983.16, 1,474.90 and 489.59 is: 734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.16 : 1,474.90 = 489.59 : x
  2. Step 2: Convert to fraction form
    983.16/1,474.90 = 489.59/x
  3. Step 3: Cross multiply
    983.16x = 1,474.90 × 489.59
  4. Step 4: Simplify right side
    983.16x = 722,096.29
  5. Step 5: Solve for x
    x = 722,096.29/983.16
  6. Step 6: Final answer
    x = 734.46

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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.