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Finding the Fourth Proportional to 730.04, 1,007.82 and 464.75

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Solution

The fourth proportional to 730.04, 1,007.82 and 464.75 is: 641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.04 : 1,007.82 = 464.75 : x
  2. Step 2: Convert to fraction form
    730.04/1,007.82 = 464.75/x
  3. Step 3: Cross multiply
    730.04x = 1,007.82 × 464.75
  4. Step 4: Simplify right side
    730.04x = 468,379.31
  5. Step 5: Solve for x
    x = 468,379.31/730.04
  6. Step 6: Final answer
    x = 641.58

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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.