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Finding the Fourth Proportional to 735.61, 1,103.19 and 296.72

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Solution

The fourth proportional to 735.61, 1,103.19 and 296.72 is: 444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.61 : 1,103.19 = 296.72 : x
  2. Step 2: Convert to fraction form
    735.61/1,103.19 = 296.72/x
  3. Step 3: Cross multiply
    735.61x = 1,103.19 × 296.72
  4. Step 4: Simplify right side
    735.61x = 327,338.54
  5. Step 5: Solve for x
    x = 327,338.54/735.61
  6. Step 6: Final answer
    x = 444.99

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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.