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Finding the Fourth Proportional to 1,199.93, 1,799.82 and 334.24

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Solution

The fourth proportional to 1,199.93, 1,799.82 and 334.24 is: 501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.93 : 1,799.82 = 334.24 : x
  2. Step 2: Convert to fraction form
    1,199.93/1,799.82 = 334.24/x
  3. Step 3: Cross multiply
    1,199.93x = 1,799.82 × 334.24
  4. Step 4: Simplify right side
    1,199.93x = 601,567.34
  5. Step 5: Solve for x
    x = 601,567.34/1,199.93
  6. Step 6: Final answer
    x = 501.34

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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.