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Finding the Fourth Proportional to 723.66, 1,090.73 and 684.06

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Solution

The fourth proportional to 723.66, 1,090.73 and 684.06 is: 1,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.66 : 1,090.73 = 684.06 : x
  2. Step 2: Convert to fraction form
    723.66/1,090.73 = 684.06/x
  3. Step 3: Cross multiply
    723.66x = 1,090.73 × 684.06
  4. Step 4: Simplify right side
    723.66x = 746,121.34
  5. Step 5: Solve for x
    x = 746,121.34/723.66
  6. Step 6: Final answer
    x = 1,031.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.