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Finding the Fourth Proportional to 730.22, 1,007.69 and 435.53

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Solution

The fourth proportional to 730.22, 1,007.69 and 435.53 is: 601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.22 : 1,007.69 = 435.53 : x
  2. Step 2: Convert to fraction form
    730.22/1,007.69 = 435.53/x
  3. Step 3: Cross multiply
    730.22x = 1,007.69 × 435.53
  4. Step 4: Simplify right side
    730.22x = 438,879.57
  5. Step 5: Solve for x
    x = 438,879.57/730.22
  6. Step 6: Final answer
    x = 601.03

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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.