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Finding the Fourth Proportional to 730.24, 1,007.04 and 467.84

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Solution

The fourth proportional to 730.24, 1,007.04 and 467.84 is: 645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.24 : 1,007.04 = 467.84 : x
  2. Step 2: Convert to fraction form
    730.24/1,007.04 = 467.84/x
  3. Step 3: Cross multiply
    730.24x = 1,007.04 × 467.84
  4. Step 4: Simplify right side
    730.24x = 471,133.59
  5. Step 5: Solve for x
    x = 471,133.59/730.24
  6. Step 6: Final answer
    x = 645.18

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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.