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Finding the Fourth Proportional to 754.97, 1,041.33 and 729.57

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Solution

The fourth proportional to 754.97, 1,041.33 and 729.57 is: 1,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.97 : 1,041.33 = 729.57 : x
  2. Step 2: Convert to fraction form
    754.97/1,041.33 = 729.57/x
  3. Step 3: Cross multiply
    754.97x = 1,041.33 × 729.57
  4. Step 4: Simplify right side
    754.97x = 759,715.51
  5. Step 5: Solve for x
    x = 759,715.51/754.97
  6. Step 6: Final answer
    x = 1,006.29

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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.