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Finding the Fourth Proportional to 706.14, 1,059.60 and 489.30

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Solution

The fourth proportional to 706.14, 1,059.60 and 489.30 is: 734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.14 : 1,059.60 = 489.30 : x
  2. Step 2: Convert to fraction form
    706.14/1,059.60 = 489.30/x
  3. Step 3: Cross multiply
    706.14x = 1,059.60 × 489.30
  4. Step 4: Simplify right side
    706.14x = 518,462.28
  5. Step 5: Solve for x
    x = 518,462.28/706.14
  6. Step 6: Final answer
    x = 734.22

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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.