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Finding the Fourth Proportional to 741.52, 1,023.12 and 479.49

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Solution

The fourth proportional to 741.52, 1,023.12 and 479.49 is: 661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.52 : 1,023.12 = 479.49 : x
  2. Step 2: Convert to fraction form
    741.52/1,023.12 = 479.49/x
  3. Step 3: Cross multiply
    741.52x = 1,023.12 × 479.49
  4. Step 4: Simplify right side
    741.52x = 490,570.69
  5. Step 5: Solve for x
    x = 490,570.69/741.52
  6. Step 6: Final answer
    x = 661.57

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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.