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Finding the Fourth Proportional to 1,799.50, 2,699.12 and 704.12

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Solution

The fourth proportional to 1,799.50, 2,699.12 and 704.12 is: 1,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.50 : 2,699.12 = 704.12 : x
  2. Step 2: Convert to fraction form
    1,799.50/2,699.12 = 704.12/x
  3. Step 3: Cross multiply
    1,799.50x = 2,699.12 × 704.12
  4. Step 4: Simplify right side
    1,799.50x = 1,900,504.37
  5. Step 5: Solve for x
    x = 1,900,504.37/1,799.50
  6. Step 6: Final answer
    x = 1,056.13

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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.