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Finding the Fourth Proportional to 843.88, 1,266.47 and 585.69

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Solution

The fourth proportional to 843.88, 1,266.47 and 585.69 is: 878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.88 : 1,266.47 = 585.69 : x
  2. Step 2: Convert to fraction form
    843.88/1,266.47 = 585.69/x
  3. Step 3: Cross multiply
    843.88x = 1,266.47 × 585.69
  4. Step 4: Simplify right side
    843.88x = 741,752.72
  5. Step 5: Solve for x
    x = 741,752.72/843.88
  6. Step 6: Final answer
    x = 878.98

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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.