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Finding the Fourth Proportional to 741.29, 1,023.12 and 446.58

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Solution

The fourth proportional to 741.29, 1,023.12 and 446.58 is: 616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.29 : 1,023.12 = 446.58 : x
  2. Step 2: Convert to fraction form
    741.29/1,023.12 = 446.58/x
  3. Step 3: Cross multiply
    741.29x = 1,023.12 × 446.58
  4. Step 4: Simplify right side
    741.29x = 456,904.93
  5. Step 5: Solve for x
    x = 456,904.93/741.29
  6. Step 6: Final answer
    x = 616.37

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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.