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Finding the Fourth Proportional to 730.53, 1,007.94 and 431.69

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Solution

The fourth proportional to 730.53, 1,007.94 and 431.69 is: 595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.53 : 1,007.94 = 431.69 : x
  2. Step 2: Convert to fraction form
    730.53/1,007.94 = 431.69/x
  3. Step 3: Cross multiply
    730.53x = 1,007.94 × 431.69
  4. Step 4: Simplify right side
    730.53x = 435,112.58
  5. Step 5: Solve for x
    x = 435,112.58/730.53
  6. Step 6: Final answer
    x = 595.61

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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.