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Finding the Fourth Proportional to 1,799.36, 2,699.40 and 629.70

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Solution

The fourth proportional to 1,799.36, 2,699.40 and 629.70 is: 944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.36 : 2,699.40 = 629.70 : x
  2. Step 2: Convert to fraction form
    1,799.36/2,699.40 = 629.70/x
  3. Step 3: Cross multiply
    1,799.36x = 2,699.40 × 629.70
  4. Step 4: Simplify right side
    1,799.36x = 1,699,810.24
  5. Step 5: Solve for x
    x = 1,699,810.24/1,799.36
  6. Step 6: Final answer
    x = 944.67

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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.