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Finding the Fourth Proportional to 732.68, 1,090.65 and 721.75

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Solution

The fourth proportional to 732.68, 1,090.65 and 721.75 is: 1,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.68 : 1,090.65 = 721.75 : x
  2. Step 2: Convert to fraction form
    732.68/1,090.65 = 721.75/x
  3. Step 3: Cross multiply
    732.68x = 1,090.65 × 721.75
  4. Step 4: Simplify right side
    732.68x = 787,171.18
  5. Step 5: Solve for x
    x = 787,171.18/732.68
  6. Step 6: Final answer
    x = 1,074.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.