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Finding the Fourth Proportional to 741.45, 1,021.77 and 531.24

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Solution

The fourth proportional to 741.45, 1,021.77 and 531.24 is: 732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.45 : 1,021.77 = 531.24 : x
  2. Step 2: Convert to fraction form
    741.45/1,021.77 = 531.24/x
  3. Step 3: Cross multiply
    741.45x = 1,021.77 × 531.24
  4. Step 4: Simplify right side
    741.45x = 542,805.09
  5. Step 5: Solve for x
    x = 542,805.09/741.45
  6. Step 6: Final answer
    x = 732.09

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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.