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Finding the Fourth Proportional to 732.09, 1,011.18 and 721.16

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Solution

The fourth proportional to 732.09, 1,011.18 and 721.16 is: 996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.09 : 1,011.18 = 721.16 : x
  2. Step 2: Convert to fraction form
    732.09/1,011.18 = 721.16/x
  3. Step 3: Cross multiply
    732.09x = 1,011.18 × 721.16
  4. Step 4: Simplify right side
    732.09x = 729,222.57
  5. Step 5: Solve for x
    x = 729,222.57/732.09
  6. Step 6: Final answer
    x = 996.08

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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.