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Finding the Fourth Proportional to 741.05, 1,023.03 and 574.90

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Solution

The fourth proportional to 741.05, 1,023.03 and 574.90 is: 793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.05 : 1,023.03 = 574.90 : x
  2. Step 2: Convert to fraction form
    741.05/1,023.03 = 574.90/x
  3. Step 3: Cross multiply
    741.05x = 1,023.03 × 574.90
  4. Step 4: Simplify right side
    741.05x = 588,137.39
  5. Step 5: Solve for x
    x = 588,137.39/741.05
  6. Step 6: Final answer
    x = 793.66

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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.