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Finding the Fourth Proportional to 939.27, 1,406.21 and 707.07

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Solution

The fourth proportional to 939.27, 1,406.21 and 707.07 is: 1,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.27 : 1,406.21 = 707.07 : x
  2. Step 2: Convert to fraction form
    939.27/1,406.21 = 707.07/x
  3. Step 3: Cross multiply
    939.27x = 1,406.21 × 707.07
  4. Step 4: Simplify right side
    939.27x = 994,285.37
  5. Step 5: Solve for x
    x = 994,285.37/939.27
  6. Step 6: Final answer
    x = 1,058.57

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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.