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Finding the Fourth Proportional to 735.90, 1,016.46 and 694.86

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Solution

The fourth proportional to 735.90, 1,016.46 and 694.86 is: 959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.90 : 1,016.46 = 694.86 : x
  2. Step 2: Convert to fraction form
    735.90/1,016.46 = 694.86/x
  3. Step 3: Cross multiply
    735.90x = 1,016.46 × 694.86
  4. Step 4: Simplify right side
    735.90x = 706,297.40
  5. Step 5: Solve for x
    x = 706,297.40/735.90
  6. Step 6: Final answer
    x = 959.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.