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Finding the Fourth Proportional to 741.45, 1,112.96 and 546.68

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Solution

The fourth proportional to 741.45, 1,112.96 and 546.68 is: 820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.45 : 1,112.96 = 546.68 : x
  2. Step 2: Convert to fraction form
    741.45/1,112.96 = 546.68/x
  3. Step 3: Cross multiply
    741.45x = 1,112.96 × 546.68
  4. Step 4: Simplify right side
    741.45x = 608,434.05
  5. Step 5: Solve for x
    x = 608,434.05/741.45
  6. Step 6: Final answer
    x = 820.60

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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.