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Finding the Fourth Proportional to 741.40, 1,023.43 and 506.12

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Solution

The fourth proportional to 741.40, 1,023.43 and 506.12 is: 698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.40 : 1,023.43 = 506.12 : x
  2. Step 2: Convert to fraction form
    741.40/1,023.43 = 506.12/x
  3. Step 3: Cross multiply
    741.40x = 1,023.43 × 506.12
  4. Step 4: Simplify right side
    741.40x = 517,978.39
  5. Step 5: Solve for x
    x = 517,978.39/741.40
  6. Step 6: Final answer
    x = 698.65

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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.