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Finding the Fourth Proportional to 729.54, 1,094.40 and 296.46

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Solution

The fourth proportional to 729.54, 1,094.40 and 296.46 is: 444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.54 : 1,094.40 = 296.46 : x
  2. Step 2: Convert to fraction form
    729.54/1,094.40 = 296.46/x
  3. Step 3: Cross multiply
    729.54x = 1,094.40 × 296.46
  4. Step 4: Simplify right side
    729.54x = 324,445.82
  5. Step 5: Solve for x
    x = 324,445.82/729.54
  6. Step 6: Final answer
    x = 444.73

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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.