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Finding the Fourth Proportional to 741.92, 1,110.45 and 546.84

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Solution

The fourth proportional to 741.92, 1,110.45 and 546.84 is: 818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.92 : 1,110.45 = 546.84 : x
  2. Step 2: Convert to fraction form
    741.92/1,110.45 = 546.84/x
  3. Step 3: Cross multiply
    741.92x = 1,110.45 × 546.84
  4. Step 4: Simplify right side
    741.92x = 607,240.53
  5. Step 5: Solve for x
    x = 607,240.53/741.92
  6. Step 6: Final answer
    x = 818.48

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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.