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Finding the Fourth Proportional to 1,796.99, 2,696.02 and 564.57

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Solution

The fourth proportional to 1,796.99, 2,696.02 and 564.57 is: 847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.99 : 2,696.02 = 564.57 : x
  2. Step 2: Convert to fraction form
    1,796.99/2,696.02 = 564.57/x
  3. Step 3: Cross multiply
    1,796.99x = 2,696.02 × 564.57
  4. Step 4: Simplify right side
    1,796.99x = 1,522,090.60
  5. Step 5: Solve for x
    x = 1,522,090.60/1,796.99
  6. Step 6: Final answer
    x = 847.02

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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.