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Finding the Fourth Proportional to 729.46, 1,007.02 and 480.94

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Solution

The fourth proportional to 729.46, 1,007.02 and 480.94 is: 663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.46 : 1,007.02 = 480.94 : x
  2. Step 2: Convert to fraction form
    729.46/1,007.02 = 480.94/x
  3. Step 3: Cross multiply
    729.46x = 1,007.02 × 480.94
  4. Step 4: Simplify right side
    729.46x = 484,316.20
  5. Step 5: Solve for x
    x = 484,316.20/729.46
  6. Step 6: Final answer
    x = 663.94

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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.