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Finding the Fourth Proportional to 730.82, 1,008.05 and 435.98

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Solution

The fourth proportional to 730.82, 1,008.05 and 435.98 is: 601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.82 : 1,008.05 = 435.98 : x
  2. Step 2: Convert to fraction form
    730.82/1,008.05 = 435.98/x
  3. Step 3: Cross multiply
    730.82x = 1,008.05 × 435.98
  4. Step 4: Simplify right side
    730.82x = 439,489.98
  5. Step 5: Solve for x
    x = 439,489.98/730.82
  6. Step 6: Final answer
    x = 601.36

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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.