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Finding the Fourth Proportional to 772.27, 1,160.49 and 407.23

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Solution

The fourth proportional to 772.27, 1,160.49 and 407.23 is: 611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.27 : 1,160.49 = 407.23 : x
  2. Step 2: Convert to fraction form
    772.27/1,160.49 = 407.23/x
  3. Step 3: Cross multiply
    772.27x = 1,160.49 × 407.23
  4. Step 4: Simplify right side
    772.27x = 472,586.34
  5. Step 5: Solve for x
    x = 472,586.34/772.27
  6. Step 6: Final answer
    x = 611.94

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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.