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Finding the Fourth Proportional to 741.12, 1,022.61 and 446.31

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Solution

The fourth proportional to 741.12, 1,022.61 and 446.31 is: 615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.12 : 1,022.61 = 446.31 : x
  2. Step 2: Convert to fraction form
    741.12/1,022.61 = 446.31/x
  3. Step 3: Cross multiply
    741.12x = 1,022.61 × 446.31
  4. Step 4: Simplify right side
    741.12x = 456,401.07
  5. Step 5: Solve for x
    x = 456,401.07/741.12
  6. Step 6: Final answer
    x = 615.83

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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.