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Finding the Fourth Proportional to 1,199.11, 1,797.57 and 429.43

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Solution

The fourth proportional to 1,199.11, 1,797.57 and 429.43 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.11 : 1,797.57 = 429.43 : x
  2. Step 2: Convert to fraction form
    1,199.11/1,797.57 = 429.43/x
  3. Step 3: Cross multiply
    1,199.11x = 1,797.57 × 429.43
  4. Step 4: Simplify right side
    1,199.11x = 771,930.49
  5. Step 5: Solve for x
    x = 771,930.49/1,199.11
  6. Step 6: Final answer
    x = 643.75

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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.