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Finding the Fourth Proportional to 989.46, 1,365.91 and 706.10

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Solution

The fourth proportional to 989.46, 1,365.91 and 706.10 is: 974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.46 : 1,365.91 = 706.10 : x
  2. Step 2: Convert to fraction form
    989.46/1,365.91 = 706.10/x
  3. Step 3: Cross multiply
    989.46x = 1,365.91 × 706.10
  4. Step 4: Simplify right side
    989.46x = 964,469.05
  5. Step 5: Solve for x
    x = 964,469.05/989.46
  6. Step 6: Final answer
    x = 974.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.