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Finding the Fourth Proportional to 843.66, 1,266.66 and 829.08

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Solution

The fourth proportional to 843.66, 1,266.66 and 829.08 is: 1,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.66 : 1,266.66 = 829.08 : x
  2. Step 2: Convert to fraction form
    843.66/1,266.66 = 829.08/x
  3. Step 3: Cross multiply
    843.66x = 1,266.66 × 829.08
  4. Step 4: Simplify right side
    843.66x = 1,050,162.47
  5. Step 5: Solve for x
    x = 1,050,162.47/843.66
  6. Step 6: Final answer
    x = 1,244.77

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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.