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Finding the Fourth Proportional to 741.46, 1,023.13 and 446.71

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Solution

The fourth proportional to 741.46, 1,023.13 and 446.71 is: 616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.46 : 1,023.13 = 446.71 : x
  2. Step 2: Convert to fraction form
    741.46/1,023.13 = 446.71/x
  3. Step 3: Cross multiply
    741.46x = 1,023.13 × 446.71
  4. Step 4: Simplify right side
    741.46x = 457,042.40
  5. Step 5: Solve for x
    x = 457,042.40/741.46
  6. Step 6: Final answer
    x = 616.41

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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.