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Finding the Fourth Proportional to 1,337.12, 2,005 and 643.77

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Solution

The fourth proportional to 1,337.12, 2,005 and 643.77 is: 965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.12 : 2,005 = 643.77 : x
  2. Step 2: Convert to fraction form
    1,337.12/2,005 = 643.77/x
  3. Step 3: Cross multiply
    1,337.12x = 2,005 × 643.77
  4. Step 4: Simplify right side
    1,337.12x = 1,290,758.85
  5. Step 5: Solve for x
    x = 1,290,758.85/1,337.12
  6. Step 6: Final answer
    x = 965.33

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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.