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Finding the Fourth Proportional to 741.97, 1,113.09 and 416.89

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Solution

The fourth proportional to 741.97, 1,113.09 and 416.89 is: 625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.97 : 1,113.09 = 416.89 : x
  2. Step 2: Convert to fraction form
    741.97/1,113.09 = 416.89/x
  3. Step 3: Cross multiply
    741.97x = 1,113.09 × 416.89
  4. Step 4: Simplify right side
    741.97x = 464,036.09
  5. Step 5: Solve for x
    x = 464,036.09/741.97
  6. Step 6: Final answer
    x = 625.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.