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Finding the Fourth Proportional to 742.06, 1,112.92 and 279.89

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Solution

The fourth proportional to 742.06, 1,112.92 and 279.89 is: 419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.06 : 1,112.92 = 279.89 : x
  2. Step 2: Convert to fraction form
    742.06/1,112.92 = 279.89/x
  3. Step 3: Cross multiply
    742.06x = 1,112.92 × 279.89
  4. Step 4: Simplify right side
    742.06x = 311,495.18
  5. Step 5: Solve for x
    x = 311,495.18/742.06
  6. Step 6: Final answer
    x = 419.77

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Why These Related Problems?

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