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Finding the Fourth Proportional to 730.26, 1,007.69 and 468

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Solution

The fourth proportional to 730.26, 1,007.69 and 468 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.26 : 1,007.69 = 468 : x
  2. Step 2: Convert to fraction form
    730.26/1,007.69 = 468/x
  3. Step 3: Cross multiply
    730.26x = 1,007.69 × 468
  4. Step 4: Simplify right side
    730.26x = 471,596.58
  5. Step 5: Solve for x
    x = 471,596.58/730.26
  6. Step 6: Final answer
    x = 645.79

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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.