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Finding the Fourth Proportional to 735.89, 1,102.14 and 675.95

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Solution

The fourth proportional to 735.89, 1,102.14 and 675.95 is: 1,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.89 : 1,102.14 = 675.95 : x
  2. Step 2: Convert to fraction form
    735.89/1,102.14 = 675.95/x
  3. Step 3: Cross multiply
    735.89x = 1,102.14 × 675.95
  4. Step 4: Simplify right side
    735.89x = 744,986.02
  5. Step 5: Solve for x
    x = 744,986.02/735.89
  6. Step 6: Final answer
    x = 1,012.37

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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.