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Finding the Fourth Proportional to 730.35, 1,008.02 and 494.29

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Solution

The fourth proportional to 730.35, 1,008.02 and 494.29 is: 682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.35 : 1,008.02 = 494.29 : x
  2. Step 2: Convert to fraction form
    730.35/1,008.02 = 494.29/x
  3. Step 3: Cross multiply
    730.35x = 1,008.02 × 494.29
  4. Step 4: Simplify right side
    730.35x = 498,254.21
  5. Step 5: Solve for x
    x = 498,254.21/730.35
  6. Step 6: Final answer
    x = 682.21

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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.