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Finding the Fourth Proportional to 744.98, 1,023.30 and 723.11

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Solution

The fourth proportional to 744.98, 1,023.30 and 723.11 is: 993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.98 : 1,023.30 = 723.11 : x
  2. Step 2: Convert to fraction form
    744.98/1,023.30 = 723.11/x
  3. Step 3: Cross multiply
    744.98x = 1,023.30 × 723.11
  4. Step 4: Simplify right side
    744.98x = 739,953.35
  5. Step 5: Solve for x
    x = 739,953.35/744.98
  6. Step 6: Final answer
    x = 993.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.