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Finding the Fourth Proportional to 741.83, 1,112.48 and 254.76

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Solution

The fourth proportional to 741.83, 1,112.48 and 254.76 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.83 : 1,112.48 = 254.76 : x
  2. Step 2: Convert to fraction form
    741.83/1,112.48 = 254.76/x
  3. Step 3: Cross multiply
    741.83x = 1,112.48 × 254.76
  4. Step 4: Simplify right side
    741.83x = 283,416.46
  5. Step 5: Solve for x
    x = 283,416.46/741.83
  6. Step 6: Final answer
    x = 382.05

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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.