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Finding the Fourth Proportional to 833.22, 1,149.93 and 553.86

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Solution

The fourth proportional to 833.22, 1,149.93 and 553.86 is: 764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.22 : 1,149.93 = 553.86 : x
  2. Step 2: Convert to fraction form
    833.22/1,149.93 = 553.86/x
  3. Step 3: Cross multiply
    833.22x = 1,149.93 × 553.86
  4. Step 4: Simplify right side
    833.22x = 636,900.23
  5. Step 5: Solve for x
    x = 636,900.23/833.22
  6. Step 6: Final answer
    x = 764.38

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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.