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Finding the Fourth Proportional to 835.10, 1,251.21 and 553.49

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Solution

The fourth proportional to 835.10, 1,251.21 and 553.49 is: 829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.10 : 1,251.21 = 553.49 : x
  2. Step 2: Convert to fraction form
    835.10/1,251.21 = 553.49/x
  3. Step 3: Cross multiply
    835.10x = 1,251.21 × 553.49
  4. Step 4: Simplify right side
    835.10x = 692,539.77
  5. Step 5: Solve for x
    x = 692,539.77/835.10
  6. Step 6: Final answer
    x = 829.29

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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.