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Finding the Fourth Proportional to 1,008.89, 1,391.58 and 822.38

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Solution

The fourth proportional to 1,008.89, 1,391.58 and 822.38 is: 1,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.89 : 1,391.58 = 822.38 : x
  2. Step 2: Convert to fraction form
    1,008.89/1,391.58 = 822.38/x
  3. Step 3: Cross multiply
    1,008.89x = 1,391.58 × 822.38
  4. Step 4: Simplify right side
    1,008.89x = 1,144,400.60
  5. Step 5: Solve for x
    x = 1,144,400.60/1,008.89
  6. Step 6: Final answer
    x = 1,134.32

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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.