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Finding the Fourth Proportional to 741.85, 1,022.80 and 608.58

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Solution

The fourth proportional to 741.85, 1,022.80 and 608.58 is: 839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.85 : 1,022.80 = 608.58 : x
  2. Step 2: Convert to fraction form
    741.85/1,022.80 = 608.58/x
  3. Step 3: Cross multiply
    741.85x = 1,022.80 × 608.58
  4. Step 4: Simplify right side
    741.85x = 622,455.62
  5. Step 5: Solve for x
    x = 622,455.62/741.85
  6. Step 6: Final answer
    x = 839.06

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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.