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Finding the Fourth Proportional to 893.43, 1,339.87 and 835.13

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Solution

The fourth proportional to 893.43, 1,339.87 and 835.13 is: 1,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.43 : 1,339.87 = 835.13 : x
  2. Step 2: Convert to fraction form
    893.43/1,339.87 = 835.13/x
  3. Step 3: Cross multiply
    893.43x = 1,339.87 × 835.13
  4. Step 4: Simplify right side
    893.43x = 1,118,960.50
  5. Step 5: Solve for x
    x = 1,118,960.50/893.43
  6. Step 6: Final answer
    x = 1,252.43

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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.