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Finding the Fourth Proportional to 908.90, 1,369.42 and 822.34

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Solution

The fourth proportional to 908.90, 1,369.42 and 822.34 is: 1,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.90 : 1,369.42 = 822.34 : x
  2. Step 2: Convert to fraction form
    908.90/1,369.42 = 822.34/x
  3. Step 3: Cross multiply
    908.90x = 1,369.42 × 822.34
  4. Step 4: Simplify right side
    908.90x = 1,126,128.84
  5. Step 5: Solve for x
    x = 1,126,128.84/908.90
  6. Step 6: Final answer
    x = 1,239.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.