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Finding the Fourth Proportional to 1,176.29, 1,622.36 and 822.09

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Solution

The fourth proportional to 1,176.29, 1,622.36 and 822.09 is: 1,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.29 : 1,622.36 = 822.09 : x
  2. Step 2: Convert to fraction form
    1,176.29/1,622.36 = 822.09/x
  3. Step 3: Cross multiply
    1,176.29x = 1,622.36 × 822.09
  4. Step 4: Simplify right side
    1,176.29x = 1,333,721.82
  5. Step 5: Solve for x
    x = 1,333,721.82/1,176.29
  6. Step 6: Final answer
    x = 1,133.84

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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.