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Finding the Fourth Proportional to 729.02, 1,006.86 and 492.56

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Solution

The fourth proportional to 729.02, 1,006.86 and 492.56 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.02 : 1,006.86 = 492.56 : x
  2. Step 2: Convert to fraction form
    729.02/1,006.86 = 492.56/x
  3. Step 3: Cross multiply
    729.02x = 1,006.86 × 492.56
  4. Step 4: Simplify right side
    729.02x = 495,933.93
  5. Step 5: Solve for x
    x = 495,933.93/729.02
  6. Step 6: Final answer
    x = 680.28

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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.