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Finding the Fourth Proportional to 729.48, 1,006.84 and 480.82

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Solution

The fourth proportional to 729.48, 1,006.84 and 480.82 is: 663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.48 : 1,006.84 = 480.82 : x
  2. Step 2: Convert to fraction form
    729.48/1,006.84 = 480.82/x
  3. Step 3: Cross multiply
    729.48x = 1,006.84 × 480.82
  4. Step 4: Simplify right side
    729.48x = 484,108.81
  5. Step 5: Solve for x
    x = 484,108.81/729.48
  6. Step 6: Final answer
    x = 663.64

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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.