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Finding the Fourth Proportional to 735.99, 1,101.86 and 633.93

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Solution

The fourth proportional to 735.99, 1,101.86 and 633.93 is: 949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.99 : 1,101.86 = 633.93 : x
  2. Step 2: Convert to fraction form
    735.99/1,101.86 = 633.93/x
  3. Step 3: Cross multiply
    735.99x = 1,101.86 × 633.93
  4. Step 4: Simplify right side
    735.99x = 698,498.94
  5. Step 5: Solve for x
    x = 698,498.94/735.99
  6. Step 6: Final answer
    x = 949.06

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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.