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Finding the Fourth Proportional to 741.61, 1,022.79 and 575.29

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Solution

The fourth proportional to 741.61, 1,022.79 and 575.29 is: 793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.61 : 1,022.79 = 575.29 : x
  2. Step 2: Convert to fraction form
    741.61/1,022.79 = 575.29/x
  3. Step 3: Cross multiply
    741.61x = 1,022.79 × 575.29
  4. Step 4: Simplify right side
    741.61x = 588,400.86
  5. Step 5: Solve for x
    x = 588,400.86/741.61
  6. Step 6: Final answer
    x = 793.41

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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.