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Finding the Fourth Proportional to 729.82, 1,006.95 and 435.14

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Solution

The fourth proportional to 729.82, 1,006.95 and 435.14 is: 600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.82 : 1,006.95 = 435.14 : x
  2. Step 2: Convert to fraction form
    729.82/1,006.95 = 435.14/x
  3. Step 3: Cross multiply
    729.82x = 1,006.95 × 435.14
  4. Step 4: Simplify right side
    729.82x = 438,164.22
  5. Step 5: Solve for x
    x = 438,164.22/729.82
  6. Step 6: Final answer
    x = 600.37

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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.