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Finding the Fourth Proportional to 741.64, 1,023.26 and 446.80

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Solution

The fourth proportional to 741.64, 1,023.26 and 446.80 is: 616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.64 : 1,023.26 = 446.80 : x
  2. Step 2: Convert to fraction form
    741.64/1,023.26 = 446.80/x
  3. Step 3: Cross multiply
    741.64x = 1,023.26 × 446.80
  4. Step 4: Simplify right side
    741.64x = 457,192.57
  5. Step 5: Solve for x
    x = 457,192.57/741.64
  6. Step 6: Final answer
    x = 616.46

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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.