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Finding the Fourth Proportional to 735, 1,096.47 and 672.84

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Solution

The fourth proportional to 735, 1,096.47 and 672.84 is: 1,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735 : 1,096.47 = 672.84 : x
  2. Step 2: Convert to fraction form
    735/1,096.47 = 672.84/x
  3. Step 3: Cross multiply
    735x = 1,096.47 × 672.84
  4. Step 4: Simplify right side
    735x = 737,748.87
  5. Step 5: Solve for x
    x = 737,748.87/735
  6. Step 6: Final answer
    x = 1,003.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.