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Finding the Fourth Proportional to 833.06, 1,249.71 and 783.62

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Solution

The fourth proportional to 833.06, 1,249.71 and 783.62 is: 1,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,249.71 = 783.62 : x
  2. Step 2: Convert to fraction form
    833.06/1,249.71 = 783.62/x
  3. Step 3: Cross multiply
    833.06x = 1,249.71 × 783.62
  4. Step 4: Simplify right side
    833.06x = 979,297.75
  5. Step 5: Solve for x
    x = 979,297.75/833.06
  6. Step 6: Final answer
    x = 1,175.54

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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.