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Finding the Fourth Proportional to 730.04, 1,007.66 and 419.64

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Solution

The fourth proportional to 730.04, 1,007.66 and 419.64 is: 579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.04 : 1,007.66 = 419.64 : x
  2. Step 2: Convert to fraction form
    730.04/1,007.66 = 419.64/x
  3. Step 3: Cross multiply
    730.04x = 1,007.66 × 419.64
  4. Step 4: Simplify right side
    730.04x = 422,854.44
  5. Step 5: Solve for x
    x = 422,854.44/730.04
  6. Step 6: Final answer
    x = 579.22

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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.