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Finding the Fourth Proportional to 905.10, 1,247.58 and 708.27

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Solution

The fourth proportional to 905.10, 1,247.58 and 708.27 is: 976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.10 : 1,247.58 = 708.27 : x
  2. Step 2: Convert to fraction form
    905.10/1,247.58 = 708.27/x
  3. Step 3: Cross multiply
    905.10x = 1,247.58 × 708.27
  4. Step 4: Simplify right side
    905.10x = 883,623.49
  5. Step 5: Solve for x
    x = 883,623.49/905.10
  6. Step 6: Final answer
    x = 976.27

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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.