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Finding the Fourth Proportional to 730.04, 1,007.62 and 419.72

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Solution

The fourth proportional to 730.04, 1,007.62 and 419.72 is: 579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.04 : 1,007.62 = 419.72 : x
  2. Step 2: Convert to fraction form
    730.04/1,007.62 = 419.72/x
  3. Step 3: Cross multiply
    730.04x = 1,007.62 × 419.72
  4. Step 4: Simplify right side
    730.04x = 422,918.27
  5. Step 5: Solve for x
    x = 422,918.27/730.04
  6. Step 6: Final answer
    x = 579.31

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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.