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Finding the Fourth Proportional to 939.56, 1,296.72 and 706.28

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Solution

The fourth proportional to 939.56, 1,296.72 and 706.28 is: 974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.56 : 1,296.72 = 706.28 : x
  2. Step 2: Convert to fraction form
    939.56/1,296.72 = 706.28/x
  3. Step 3: Cross multiply
    939.56x = 1,296.72 × 706.28
  4. Step 4: Simplify right side
    939.56x = 915,847.40
  5. Step 5: Solve for x
    x = 915,847.40/939.56
  6. Step 6: Final answer
    x = 974.76

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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.