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Finding the Fourth Proportional to 730.63, 1,007.85 and 464.59

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Solution

The fourth proportional to 730.63, 1,007.85 and 464.59 is: 640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.63 : 1,007.85 = 464.59 : x
  2. Step 2: Convert to fraction form
    730.63/1,007.85 = 464.59/x
  3. Step 3: Cross multiply
    730.63x = 1,007.85 × 464.59
  4. Step 4: Simplify right side
    730.63x = 468,237.03
  5. Step 5: Solve for x
    x = 468,237.03/730.63
  6. Step 6: Final answer
    x = 640.87

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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.