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Finding the Fourth Proportional to 955.34, 1,317.90 and 824.12

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Solution

The fourth proportional to 955.34, 1,317.90 and 824.12 is: 1,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.34 : 1,317.90 = 824.12 : x
  2. Step 2: Convert to fraction form
    955.34/1,317.90 = 824.12/x
  3. Step 3: Cross multiply
    955.34x = 1,317.90 × 824.12
  4. Step 4: Simplify right side
    955.34x = 1,086,107.75
  5. Step 5: Solve for x
    x = 1,086,107.75/955.34
  6. Step 6: Final answer
    x = 1,136.88

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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.