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Finding the Fourth Proportional to 729.74, 1,007.41 and 464.45

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Solution

The fourth proportional to 729.74, 1,007.41 and 464.45 is: 641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.74 : 1,007.41 = 464.45 : x
  2. Step 2: Convert to fraction form
    729.74/1,007.41 = 464.45/x
  3. Step 3: Cross multiply
    729.74x = 1,007.41 × 464.45
  4. Step 4: Simplify right side
    729.74x = 467,890.32
  5. Step 5: Solve for x
    x = 467,890.32/729.74
  6. Step 6: Final answer
    x = 641.17

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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.