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Finding the Fourth Proportional to 1,354.37, 2,028.93 and 832.83

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Solution

The fourth proportional to 1,354.37, 2,028.93 and 832.83 is: 1,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.37 : 2,028.93 = 832.83 : x
  2. Step 2: Convert to fraction form
    1,354.37/2,028.93 = 832.83/x
  3. Step 3: Cross multiply
    1,354.37x = 2,028.93 × 832.83
  4. Step 4: Simplify right side
    1,354.37x = 1,689,753.77
  5. Step 5: Solve for x
    x = 1,689,753.77/1,354.37
  6. Step 6: Final answer
    x = 1,247.64

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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.