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Finding the Fourth Proportional to 833.22, 1,149.19 and 777.33

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Solution

The fourth proportional to 833.22, 1,149.19 and 777.33 is: 1,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.22 : 1,149.19 = 777.33 : x
  2. Step 2: Convert to fraction form
    833.22/1,149.19 = 777.33/x
  3. Step 3: Cross multiply
    833.22x = 1,149.19 × 777.33
  4. Step 4: Simplify right side
    833.22x = 893,297.92
  5. Step 5: Solve for x
    x = 893,297.92/833.22
  6. Step 6: Final answer
    x = 1,072.10

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