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Finding the Fourth Proportional to 735, 1,100.88 and 671.82

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Solution

The fourth proportional to 735, 1,100.88 and 671.82 is: 1,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    735 : 1,100.88 = 671.82 : x
  2. Step 2: Convert to fraction form
    735/1,100.88 = 671.82/x
  3. Step 3: Cross multiply
    735x = 1,100.88 × 671.82
  4. Step 4: Simplify right side
    735x = 739,593.20
  5. Step 5: Solve for x
    x = 739,593.20/735
  6. Step 6: Final answer
    x = 1,006.25

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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.