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Finding the Fourth Proportional to 723.40, 1,089.94 and 626.20

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Solution

The fourth proportional to 723.40, 1,089.94 and 626.20 is: 943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.40 : 1,089.94 = 626.20 : x
  2. Step 2: Convert to fraction form
    723.40/1,089.94 = 626.20/x
  3. Step 3: Cross multiply
    723.40x = 1,089.94 × 626.20
  4. Step 4: Simplify right side
    723.40x = 682,520.43
  5. Step 5: Solve for x
    x = 682,520.43/723.40
  6. Step 6: Final answer
    x = 943.49

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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.