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Finding the Fourth Proportional to 741.77, 1,112.58 and 279.35

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Solution

The fourth proportional to 741.77, 1,112.58 and 279.35 is: 418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.77 : 1,112.58 = 279.35 : x
  2. Step 2: Convert to fraction form
    741.77/1,112.58 = 279.35/x
  3. Step 3: Cross multiply
    741.77x = 1,112.58 × 279.35
  4. Step 4: Simplify right side
    741.77x = 310,793.66
  5. Step 5: Solve for x
    x = 310,793.66/741.77
  6. Step 6: Final answer
    x = 418.99

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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.