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Finding the Fourth Proportional to 1,192.36, 1,645.70 and 799.08

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Solution

The fourth proportional to 1,192.36, 1,645.70 and 799.08 is: 1,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.36 : 1,645.70 = 799.08 : x
  2. Step 2: Convert to fraction form
    1,192.36/1,645.70 = 799.08/x
  3. Step 3: Cross multiply
    1,192.36x = 1,645.70 × 799.08
  4. Step 4: Simplify right side
    1,192.36x = 1,315,045.96
  5. Step 5: Solve for x
    x = 1,315,045.96/1,192.36
  6. Step 6: Final answer
    x = 1,102.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.