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Finding the Fourth Proportional to 727.80, 1,004.49 and 506.67

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Solution

The fourth proportional to 727.80, 1,004.49 and 506.67 is: 699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.80 : 1,004.49 = 506.67 : x
  2. Step 2: Convert to fraction form
    727.80/1,004.49 = 506.67/x
  3. Step 3: Cross multiply
    727.80x = 1,004.49 × 506.67
  4. Step 4: Simplify right side
    727.80x = 508,944.95
  5. Step 5: Solve for x
    x = 508,944.95/727.80
  6. Step 6: Final answer
    x = 699.29

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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.